{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "c2b7da21-f761-4b32-9b9e-f8985e2f8dc9",
   "metadata": {},
   "source": [
    "Ch13 聊聊NumPy\n",
    "# 生成数组\n",
    "Book_1《编程不难》 | 鸢尾花书：从加减乘除到机器学习  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "b7fd0dce-2785-492d-8c71-40feddea5500",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 导入包\n",
    "import numpy as np\n",
    "import seaborn as sns\n",
    "import matplotlib.pyplot as plt\n",
    "import math\n",
    "from matplotlib import cm \n",
    "\n",
    "import os\n",
    "\n",
    "# 如果文件夹不存在，创建文件夹\n",
    "if not os.path.isdir(\"Figures\"):\n",
    "    os.makedirs(\"Figures\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "935155c5-46b4-4889-913f-f7c5f7c1f071",
   "metadata": {},
   "source": [
    "## 自定义可视化函数"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "d4df62e5-871e-405d-8218-6f0bd2cf4265",
   "metadata": {},
   "outputs": [],
   "source": [
    "def visualize_2D(array, title, vmax, vmin):\n",
    "    \n",
    "    fig_width  = math.ceil(array.shape[1] * 0.5)\n",
    "    fig_length = math.ceil(array.shape[0] * 0.5)\n",
    "    \n",
    "    fig, ax = plt.subplots(figsize=(fig_width, fig_length))\n",
    "    # 注意，seaborn.heatmap() 目前只能接受2D数组\n",
    "    # 本书中，一维数组可视化时用圆圈\n",
    "    # 可视化时，只有二维、三维数组用方块\n",
    "    \n",
    "    sns.heatmap(array, \n",
    "                vmax = vmax,\n",
    "                vmin = vmin,\n",
    "                annot = True,      # 增加注释\n",
    "                fmt = \".0f\",       # 注释数值的格式\n",
    "                square = True,     # 热图方格为正方形\n",
    "                cmap = 'RdYlBu_r', # 指定色谱\n",
    "                linewidths = .5,   # 方格线宽\n",
    "                cbar = False,      # 不显示色谱条\n",
    "                yticklabels=False, # 不显示纵轴标签\n",
    "                xticklabels=False, # 不显示横轴标签\n",
    "                ax = ax)           # 指定绘制热图的轴\n",
    "    \n",
    "    fig.savefig('Figures/' + title + '.svg', format='svg')\n",
    "\n",
    "# 定义绘制一元数组可视化函数\n",
    "\n",
    "def visualize_1D(array, title):\n",
    "    fig, ax = plt.subplots()\n",
    "\n",
    "    colors = cm.RdYlBu_r(np.linspace(0,1,len(array)))\n",
    "\n",
    "    for idx in range(len(array)):\n",
    "\n",
    "        circle_idx = plt.Circle((idx, 0), 0.5, facecolor=colors[idx], edgecolor = 'w')\n",
    "        ax.add_patch(circle_idx)\n",
    "        ax.text(idx, 0, s = str(array[idx]),\n",
    "                horizontalalignment = 'center',\n",
    "                verticalalignment = 'center')\n",
    "\n",
    "    ax.set_xlim(-0.6, 0.6 + len(array))\n",
    "    ax.set_ylim(-0.6, 0.6)\n",
    "    ax.set_aspect('equal', adjustable='box')\n",
    "    ax.axis('off')\n",
    "    fig.savefig('Figures/' + title + '.svg', format='svg')\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c39fe25a-c8d8-41b4-8051-982538c46f7c",
   "metadata": {},
   "source": [
    "## 手动"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a17f8e67-0ade-44fd-9149-deea95556e4d",
   "metadata": {},
   "source": [
    "### 一维"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "51ab495d-f96b-4f57-807a-e0145fa142de",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([-3, -2, -1,  0,  1,  2,  3])"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "a_1D = np.array([-3, -2, -1, 0, 1, 2, 3])\n",
    "a_1D"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "85492ce3-2e4e-42ae-a5eb-094820ac40a7",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(7,)"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "a_1D.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "3ea8e56c-c067-42a5-8a37-ef9d06e6ad25",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "7"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "len(a_1D)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "2e64d64d-f0ad-4c2f-af1a-f3f0fe3f7cc8",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "1"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "a_1D.ndim"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "d84502fc-befe-4faf-9aa0-5ddda984d329",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "7"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "a_1D.size"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "73132f47-7704-4872-8736-f0b5e79d6800",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "visualize_1D(a_1D, '手动，一维')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "81449350-1908-4a7c-87db-6ab5edf9b72e",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "-3"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# 取出第一个元素\n",
    "a_1D[0]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "fa87183d-34ff-4623-9e25-291674224856",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "3"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# 取出最后一个元素\n",
    "a_1D[-1]"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "742a1248-073a-4269-9684-87efa4c9b112",
   "metadata": {},
   "source": [
    "### 二维"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "8c018b30-9bf3-4e9e-a14b-362296c14cda",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[-3, -2, -1],\n",
       "       [ 0,  1,  2]])"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "a_2D = np.array([[-3, -2, -1],\n",
    "                 [0,  1,  2]])\n",
    "a_2D"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "dfce8a4a-ee7c-4713-862d-7bb351286842",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 200x100 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "visualize_2D(a_2D, '手动，二维', 3, -3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "cf21c0de-4d9a-41b2-89dd-0193cb9f50f9",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(2, 3)"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "a_2D.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "9cff456a-feab-49ae-903e-052de75f897d",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "2"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "a_2D.shape[0]\n",
    "# 行数"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "95987c06-7ef4-4e80-bae6-ce1dedea2c8e",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "3"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "a_2D.shape[1]\n",
    "# 列数"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "4943260c-0eb7-46e5-ab22-ac450521115b",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "2"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "a_2D.ndim"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "8fd772a3-129a-4d71-aec5-378c53205705",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "6"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "a_2D.size"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "14bc377f-62db-4101-a741-88c7e12470f1",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "2"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "len(a_2D)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "644b5d4c-be85-4a41-8541-9c0a99e8ab3f",
   "metadata": {},
   "source": [
    "### 二维，行向量"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "e21140ad-43c9-4917-8949-bb53e3158465",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[-3, -2, -1,  0,  1,  2,  3]])"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "a_row_vector = np.array([[-3, -2, -1, 0, 1, 2, 3]])\n",
    "# 两层中括号\n",
    "a_row_vector"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "07e21a10-59fc-4dc4-91bf-93b3f9338708",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 400x100 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "visualize_2D(a_row_vector, '手动，行向量', 3, -3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "id": "54d69d2e-a463-40c4-877b-133f172591ef",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(1, 7)"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "a_row_vector.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "id": "9167d8c3-977d-4a47-9582-26cf473bce68",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "2"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "a_row_vector.ndim"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "id": "8fe5e1cb-0388-4fec-bce6-92b19fd6a0b9",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "1"
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "len(a_row_vector)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "id": "40f0dbc4-d3f3-4458-a5de-73f659b499a6",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "7"
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "a_row_vector.size"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0030d8c7-bfe7-451f-bf7d-79a9aa96f107",
   "metadata": {},
   "source": [
    "### 二维，列向量"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "id": "ab2a007c-98b0-4fe3-8b87-3e71f1c84ffb",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[-3],\n",
       "       [-2],\n",
       "       [-1],\n",
       "       [ 0],\n",
       "       [ 1],\n",
       "       [ 2],\n",
       "       [ 3]])"
      ]
     },
     "execution_count": 25,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "a_col_vector = np.array([[-3], [-2], [-1], [0], [1], [2], [3]])\n",
    "a_col_vector"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "id": "ae354224-522c-44da-8395-f24f60375e53",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 100x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "visualize_2D(a_col_vector, '手动，列向量', 3, -3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "id": "8261480c-5e6b-43e1-aceb-682a99c72ca0",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(7, 1)"
      ]
     },
     "execution_count": 27,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "a_col_vector.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "id": "b7447400-1cfa-4b57-b549-eaec8cad05c7",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "2"
      ]
     },
     "execution_count": 28,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "a_col_vector.ndim"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "id": "12365641-c0c8-4315-afe4-df72f43f9cbb",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "7"
      ]
     },
     "execution_count": 29,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "a_col_vector.size"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "id": "baef27ce-aec7-44d7-bf68-6073b3293f5b",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "7"
      ]
     },
     "execution_count": 30,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "len(a_col_vector)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "63a1a443-52bc-4f8c-b0e5-35a6ae8d3d5f",
   "metadata": {},
   "source": [
    "### 三维"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "id": "cd4200fc-eef5-4d0a-8f1a-7e71f5c7b849",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[[-12, -11, -10,  -9],\n",
       "        [ -8,  -7,  -6,  -5],\n",
       "        [ -4,  -3,  -2,  -1]],\n",
       "\n",
       "       [[  0,   1,   2,   3],\n",
       "        [  4,   5,   6,   7],\n",
       "        [  8,   9,  10,  11]]])"
      ]
     },
     "execution_count": 31,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "a_3D = np.array([[[-12, -11, -10, -9],\n",
    "                  [-8,  -7,  -6,  -5],\n",
    "                  [-4,  -3,  -2,  -1]],\n",
    "                 [[0,   1,   2,   3],\n",
    "                  [4,   5,   6,   7],\n",
    "                  [8,   9,   10,  11]]])\n",
    "a_3D"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "id": "6a448429-9f68-4d84-894d-00ad976efdcc",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(2, 3, 4)"
      ]
     },
     "execution_count": 32,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "a_3D.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "id": "b2ebfd6f-ba9e-4dbd-b196-62473beac54e",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "3"
      ]
     },
     "execution_count": 33,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "a_3D.ndim"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "id": "23b72d4a-9045-472f-a8a9-046c0eaed3b6",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[-12, -11, -10,  -9],\n",
       "       [ -8,  -7,  -6,  -5],\n",
       "       [ -4,  -3,  -2,  -1]])"
      ]
     },
     "execution_count": 34,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "a_3D[0]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "id": "6610972f-e3d5-4cae-852e-619a23096ee2",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "visualize_2D(a_3D[0], '手动，三维，第一页', 12, -12)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "id": "fe9cf115-3841-41c8-a9f3-3981f58cc162",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(3, 4)"
      ]
     },
     "execution_count": 36,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "a_3D[0].shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "id": "339265e0-22e5-44fe-bf1a-fd820608409f",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[ 0,  1,  2,  3],\n",
       "       [ 4,  5,  6,  7],\n",
       "       [ 8,  9, 10, 11]])"
      ]
     },
     "execution_count": 37,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "a_3D[1]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "id": "5f84761d-a1d7-465d-abc6-1511b3190496",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 200x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "visualize_2D(a_3D[1], '手动，三维，第二页', 12, -12)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "546485bc-37e1-4dbf-81a0-50bb42109012",
   "metadata": {},
   "source": [
    "### 三维，行向量"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "id": "7d142749-f33b-40cd-9e88-4e1be32b5b08",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[[-3, -2, -1,  0,  1,  2,  3]]])"
      ]
     },
     "execution_count": 39,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "a_row_vector_3D = np.array([[[-3, -2, -1, 0, 1, 2, 3]]])\n",
    "a_row_vector_3D"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "id": "e75555ea-7906-42e7-b0e3-40c77ae1a6b2",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(1, 1, 7)"
      ]
     },
     "execution_count": 40,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "a_row_vector_3D.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "id": "64eef44a-6e02-4ea6-90a5-463da47707f7",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "3"
      ]
     },
     "execution_count": 41,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "a_row_vector_3D.ndim"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d5c3ae28-14df-4864-92ab-b5d696f80d33",
   "metadata": {},
   "source": [
    "## list 到数组"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "id": "e42c9e67-1059-4de2-9307-f095afdef9b3",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[-3, -2, -1, 0, 1, 2, 3]"
      ]
     },
     "execution_count": 42,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "list_1D = [-3, -2, -1, 0, 1, 2, 3]\n",
    "list_1D"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "id": "928f4859-8baf-45d7-8429-27af827c3b50",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([-3, -2, -1,  0,  1,  2,  3])"
      ]
     },
     "execution_count": 43,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.array(list_1D)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "id": "5e913273-f6f7-4f9a-a47b-afd925078742",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[[-3, -2, -1, 0, 1, 2, 3]]"
      ]
     },
     "execution_count": 44,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "list_2D = [[-3, -2, -1, 0, 1, 2, 3]]\n",
    "list_2D"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "id": "bf9a26b0-0233-4a95-88e5-1dd9c9e2e13a",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[-3, -2, -1,  0,  1,  2,  3]])"
      ]
     },
     "execution_count": 45,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.array(list_2D)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "id": "e92e190b-1807-4d01-ab65-6f209a4eef5e",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[[[-3, -2, -1, 0, 1, 2, 3]]]"
      ]
     },
     "execution_count": 46,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "list_3D = [[[-3, -2, -1, 0, 1, 2, 3]]]\n",
    "list_3D"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "id": "e35392dc-5741-4e8b-97aa-48f6ebbacc33",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[[-3, -2, -1,  0,  1,  2,  3]]])"
      ]
     },
     "execution_count": 47,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.array(list_3D)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0c1884bd-53ed-4a8e-9dca-cfee0cdc7086",
   "metadata": {},
   "source": [
    "## 数列"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "183e2c9c-3263-46f8-8e52-2b81aa9729b3",
   "metadata": {},
   "source": [
    "### 使用numpy.arange()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "id": "66e0e450-c791-4506-b3cf-df3eb1ad4d3d",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([0, 1, 2, 3, 4])"
      ]
     },
     "execution_count": 48,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.arange(5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "id": "3979a571-8b53-4ff1-8a88-3e6ab81e3ee7",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([0., 1., 2., 3., 4.])"
      ]
     },
     "execution_count": 49,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.arange(5, dtype = float)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "id": "9dfd766c-a388-47d4-ae8e-29b2a586cb09",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([10, 11, 12, 13, 14, 15, 16, 17, 18, 19])"
      ]
     },
     "execution_count": 50,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.arange(10,20)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "id": "8b29fa64-4c33-43d3-9123-42e3731b97bd",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([10, 12, 14, 16, 18])"
      ]
     },
     "execution_count": 51,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.arange(10,20,2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "id": "98d7a169-b97b-48a0-8d5d-32c4404dfe2a",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([10., 12., 14., 16., 18.])"
      ]
     },
     "execution_count": 52,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.arange(10,20,2, dtype = float)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6003293c-8489-4664-b444-667b5ebebae0",
   "metadata": {},
   "source": [
    "### 使用numpy.linspace()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "id": "707f20f6-d141-4ca4-8f97-bc418ca6f15c",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ 0. ,  0.5,  1. ,  1.5,  2. ,  2.5,  3. ,  3.5,  4. ,  4.5,  5. ,\n",
       "        5.5,  6. ,  6.5,  7. ,  7.5,  8. ,  8.5,  9. ,  9.5, 10. ])"
      ]
     },
     "execution_count": 53,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.linspace(0, 10, 21) "
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a3200d7d-cec8-4eae-b0b9-98d8357451a2",
   "metadata": {},
   "source": [
    "### 使用numpy.logspace()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 54,
   "id": "0a89dccf-092b-402e-9392-c8cccedb78f6",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([1.e+00, 1.e+01, 1.e+02, 1.e+03, 1.e+04])"
      ]
     },
     "execution_count": 54,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.logspace(0, 4, 5, base=10) "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "id": "b5493d9e-6948-468a-84ea-0a3ca6a5b3cd",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ 1.,  2.,  4.,  8., 16.])"
      ]
     },
     "execution_count": 55,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.logspace(0, 4, 5, base=2) "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 56,
   "id": "fbf55ca2-76d0-4ff9-ba48-ed073c35bcb5",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[0, 1, 4, 9, 16, 25, 36, 49]"
      ]
     },
     "execution_count": 56,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "[n**2 for n in np.arange(8)]"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d467a732-1c65-4c03-8f37-313e035e0458",
   "metadata": {},
   "source": [
    "## 网格数据"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 57,
   "id": "664acacf-18e2-45eb-844d-2049b57d09cb",
   "metadata": {},
   "outputs": [],
   "source": [
    "x1_array = np.linspace(-3, 3, 61)\n",
    "x2_array = np.linspace(-3, 3, 61)\n",
    "\n",
    "xx1, xx2 = np.meshgrid(x1_array, x2_array)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 58,
   "id": "f08d34a1-658d-4f6f-958b-cb7b56094fea",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[-3. , -2.9, -2.8, ...,  2.8,  2.9,  3. ],\n",
       "       [-3. , -2.9, -2.8, ...,  2.8,  2.9,  3. ],\n",
       "       [-3. , -2.9, -2.8, ...,  2.8,  2.9,  3. ],\n",
       "       ...,\n",
       "       [-3. , -2.9, -2.8, ...,  2.8,  2.9,  3. ],\n",
       "       [-3. , -2.9, -2.8, ...,  2.8,  2.9,  3. ],\n",
       "       [-3. , -2.9, -2.8, ...,  2.8,  2.9,  3. ]])"
      ]
     },
     "execution_count": 58,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "xx1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 59,
   "id": "461a7a3f-846f-48bc-8dad-6f498c82c908",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(61, 61)"
      ]
     },
     "execution_count": 59,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "xx1.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 60,
   "id": "ce0f9491-88a8-4eb1-930c-06a77ae8e212",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "2"
      ]
     },
     "execution_count": 60,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "xx1.ndim"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 61,
   "id": "e9bc8ce2-8341-4e9a-b5a7-0f040f4d13ae",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[-3. , -3. , -3. , ..., -3. , -3. , -3. ],\n",
       "       [-2.9, -2.9, -2.9, ..., -2.9, -2.9, -2.9],\n",
       "       [-2.8, -2.8, -2.8, ..., -2.8, -2.8, -2.8],\n",
       "       ...,\n",
       "       [ 2.8,  2.8,  2.8, ...,  2.8,  2.8,  2.8],\n",
       "       [ 2.9,  2.9,  2.9, ...,  2.9,  2.9,  2.9],\n",
       "       [ 3. ,  3. ,  3. , ...,  3. ,  3. ,  3. ]])"
      ]
     },
     "execution_count": 61,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "xx2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 62,
   "id": "d9844cbb-d9ce-484c-a27d-1ec6cdfb67a0",
   "metadata": {},
   "outputs": [],
   "source": [
    "xxx1, xxx2, xxx3 = np.meshgrid(np.arange(6), np.arange(6), np.arange(6))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 63,
   "id": "de38b81c-e23d-44d1-afdd-20394665e7fc",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[[0, 0, 0, 0, 0, 0],\n",
       "        [1, 1, 1, 1, 1, 1],\n",
       "        [2, 2, 2, 2, 2, 2],\n",
       "        [3, 3, 3, 3, 3, 3],\n",
       "        [4, 4, 4, 4, 4, 4],\n",
       "        [5, 5, 5, 5, 5, 5]],\n",
       "\n",
       "       [[0, 0, 0, 0, 0, 0],\n",
       "        [1, 1, 1, 1, 1, 1],\n",
       "        [2, 2, 2, 2, 2, 2],\n",
       "        [3, 3, 3, 3, 3, 3],\n",
       "        [4, 4, 4, 4, 4, 4],\n",
       "        [5, 5, 5, 5, 5, 5]],\n",
       "\n",
       "       [[0, 0, 0, 0, 0, 0],\n",
       "        [1, 1, 1, 1, 1, 1],\n",
       "        [2, 2, 2, 2, 2, 2],\n",
       "        [3, 3, 3, 3, 3, 3],\n",
       "        [4, 4, 4, 4, 4, 4],\n",
       "        [5, 5, 5, 5, 5, 5]],\n",
       "\n",
       "       [[0, 0, 0, 0, 0, 0],\n",
       "        [1, 1, 1, 1, 1, 1],\n",
       "        [2, 2, 2, 2, 2, 2],\n",
       "        [3, 3, 3, 3, 3, 3],\n",
       "        [4, 4, 4, 4, 4, 4],\n",
       "        [5, 5, 5, 5, 5, 5]],\n",
       "\n",
       "       [[0, 0, 0, 0, 0, 0],\n",
       "        [1, 1, 1, 1, 1, 1],\n",
       "        [2, 2, 2, 2, 2, 2],\n",
       "        [3, 3, 3, 3, 3, 3],\n",
       "        [4, 4, 4, 4, 4, 4],\n",
       "        [5, 5, 5, 5, 5, 5]],\n",
       "\n",
       "       [[0, 0, 0, 0, 0, 0],\n",
       "        [1, 1, 1, 1, 1, 1],\n",
       "        [2, 2, 2, 2, 2, 2],\n",
       "        [3, 3, 3, 3, 3, 3],\n",
       "        [4, 4, 4, 4, 4, 4],\n",
       "        [5, 5, 5, 5, 5, 5]]])"
      ]
     },
     "execution_count": 63,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "xxx1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 64,
   "id": "f1e45f59-a3b6-40d1-86a6-fe7e2e0b3c94",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(6, 6, 6)"
      ]
     },
     "execution_count": 64,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "xxx1.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 65,
   "id": "f3245f1a-1762-4138-9e91-5aa75218748c",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "3"
      ]
     },
     "execution_count": 65,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "xxx1.ndim"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2e48ac2a-1bcd-4f7e-849e-a5d35c58d82b",
   "metadata": {},
   "source": [
    "### 特殊矩阵"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 66,
   "id": "86b2bd20-841e-4edf-b5f1-46fc0c17f27d",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[0.00000000e+000, 4.94065646e-324, 2.12199579e-314,\n",
       "        2.12199579e-314],\n",
       "       [4.24399158e-314, 4.24399158e-314, 6.36598737e-314,\n",
       "        6.36598737e-314],\n",
       "       [8.48798316e-314, 8.48798316e-314, 1.06099790e-313,\n",
       "        1.06099790e-313],\n",
       "       [1.27319747e-313, 1.27319747e-313, 1.48539705e-313,\n",
       "        1.48539705e-313]])"
      ]
     },
     "execution_count": 66,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.empty([4,4])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 67,
   "id": "e75b19e3-a92b-4c22-b6f0-80dbd59b14b4",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([2.12199579e-314, 6.36598737e-314, 1.06099790e-313, 1.48539705e-313])"
      ]
     },
     "execution_count": 67,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.empty(4)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 68,
   "id": "1e0e1c37-9690-47e7-9de0-e5f490ad37e3",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[0, 1, 2],\n",
       "       [3, 4, 5]])"
      ]
     },
     "execution_count": 68,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "A = np.array([[1, 2, 3],\n",
    "              [4, 5, 6]])\n",
    "np.empty_like(A)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 69,
   "id": "100f04a0-37b3-415a-8682-2e728a887d96",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[1., 0., 0., 0., 0.],\n",
       "       [0., 1., 0., 0., 0.],\n",
       "       [0., 0., 1., 0., 0.],\n",
       "       [0., 0., 0., 1., 0.],\n",
       "       [0., 0., 0., 0., 1.]])"
      ]
     },
     "execution_count": 69,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.eye(5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 70,
   "id": "158a1b55-e082-4383-a32b-b9b1d19ec599",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[inf, inf, inf],\n",
       "       [inf, inf, inf],\n",
       "       [inf, inf, inf]])"
      ]
     },
     "execution_count": 70,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.full((3,3), np.inf)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 71,
   "id": "6395d0ed-64d1-45e3-aff5-3d2039a2db95",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[100, 100, 100],\n",
       "       [100, 100, 100]])"
      ]
     },
     "execution_count": 71,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "A = np.array([[1, 2, 3],\n",
    "              [4, 5, 6]])\n",
    "np.full_like(A, 100)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 72,
   "id": "ea4825ab-c05b-4e50-91e2-6830509277ef",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([1., 1., 1., 1., 1.])"
      ]
     },
     "execution_count": 72,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.ones(5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 73,
   "id": "a26cdda9-5b4f-4f08-b6e2-174935538bbf",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[1., 1., 1., 1., 1.],\n",
       "       [1., 1., 1., 1., 1.],\n",
       "       [1., 1., 1., 1., 1.],\n",
       "       [1., 1., 1., 1., 1.],\n",
       "       [1., 1., 1., 1., 1.]])"
      ]
     },
     "execution_count": 73,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.ones((5,5))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 74,
   "id": "bf89a70f-4df8-4dc4-b798-8aa6802ad7dd",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[1, 1, 1],\n",
       "       [1, 1, 1]])"
      ]
     },
     "execution_count": 74,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "A = np.array([[1, 2, 3],\n",
    "              [4, 5, 6]])\n",
    "np.ones_like(A)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 75,
   "id": "a335d322-dbb3-44d4-b7bb-5e66a42a287e",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([0., 0., 0., 0., 0.])"
      ]
     },
     "execution_count": 75,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.zeros(5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 76,
   "id": "982daab3-2c8b-42f8-ba40-34bcc58a4abf",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[0., 0., 0., 0., 0.],\n",
       "       [0., 0., 0., 0., 0.],\n",
       "       [0., 0., 0., 0., 0.],\n",
       "       [0., 0., 0., 0., 0.],\n",
       "       [0., 0., 0., 0., 0.]])"
      ]
     },
     "execution_count": 76,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.zeros((5,5))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 77,
   "id": "e9372cea-1cb4-4902-b528-d466a79b6f3e",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[0, 0, 0],\n",
       "       [0, 0, 0]])"
      ]
     },
     "execution_count": 77,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "A = np.array([[1, 2, 3],\n",
    "              [4, 5, 6]])\n",
    "np.zeros_like(A)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0b2da4c6-19b9-469f-b04d-e5d5f5adfca8",
   "metadata": {},
   "source": [
    "## 随机数"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c6ac1596-c290-4479-86ee-19eaa1362c69",
   "metadata": {},
   "source": [
    "### 二元连续均匀随机数"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 78,
   "id": "18c00780-0c15-47c5-a300-e296e201b973",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 500x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 二元，服从连续均匀分布\n",
    "num = 2000\n",
    "# 2000 个散点\n",
    "X_uniform = np.random.uniform(low=-3, high=3, size=(num,2))\n",
    "\n",
    "fig, ax = plt.subplots(figsize = (5,5))\n",
    "plt.scatter(X_uniform[:,0],  # 散点横轴坐标\n",
    "            X_uniform[:,1],  # 散点纵轴坐标\n",
    "            s = 100,         # 散点大小\n",
    "            marker = '.',    # 散点marker样式\n",
    "            alpha = 0.5,     # 透明度\n",
    "            edgecolors = 'w')# 散点边缘颜色\n",
    "\n",
    "ax.set_aspect('equal', adjustable='box')\n",
    "plt.xlim(-3, 3)\n",
    "plt.ylim(-3, 3)\n",
    "ax.set_xticks((-3,0,3))\n",
    "ax.set_yticks((-3,0,3))\n",
    "fig.savefig('Figures/二元连续均匀随机数.svg', format='svg')\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "41b2a3b6-b6c6-4737-a9ae-57f70ff88df9",
   "metadata": {},
   "source": [
    "### 二元正态分布随机数"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 79,
   "id": "d10ebe08-27fd-4dcb-b5be-8e8ac669e437",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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1fhxCnwlNRhIFHPchse1nw9z8HJbrJuW2zVhS442ZFHO52IHP41FWe6Vts9Iwcfoe6ahCNhqQ7XEYZ/M4wjnMZ3zU07af91oM8fwQktsxwLOwXp8FgR6X0OeTbpjbn4PjekiiQEJ78j6x3az2Stvmy6UGnu9T7fQo3a9yIhvljZkU0xmDr1eaRzbOZj8b/vb7V0yozGYMErpC0+zx4b0qtzdah/aMD8Oz2T4tPWMofPyg9tzXYojnh5DcjgGeRVz+qK3xptnjy+UGP7+5jqYEsk+6Ih1J7nA/5/mkepDPIj+y0jDxfJ+P5mt8vljH9XwksUypbfPj8wXOFmO7jrOx++5TGTwHMT42379K2x5NGpAiIposko2qlNr2sQhvb7+uptVHlyNcX22gycEWdxzOM8SzRUhuxwT73YyflIQeFyJ7Go+r0ra5W2pzY7XJWtNGAFKGzEzGQFekQwulPQvP8FnkR5y+R7XT47OF2siT7ns+f5ivcnkqybunc4yn9C3jbPZTLfk4PEnedfs9f1BuM5k2uDabpmk52H3v0MLbT7q2VxrmlutSIiIPKh3qpsOY/HCLe5mqMEM8HiG5vUA4jP6jo+g1Wqx1WayZ5GMqEVHA9XzqXYek4RBVpUMLfb4sRTHpqELpfnVLiFgANDlCud3j6nSaq9PKlnE2+8HjyGGYz9NkkUJcQ5VE7L5Hw9xbwWT7PdeUCJ8PClyKCY2FavdQwtsHWdtNs8d8tct6wyIXD/4vN/AkAey+Rz6mcnOtueV7L1MVZojHIyS3FwhHtbkfpNhktw3U6rlsNC3OFuNcnU7x2SDUZjnuoeYOX5aeqGxU4UQ2iiSW6Xv+yNNN6/ITb777IYdcXKWYUCkmNGqdHovVLvmEylhC2/N3t9/zsbjGeEIjoUskNJly22I8qT/1M37c2t7c+ycIApokstaw+XqlScpQmE7rI09yo2VxrhjnzZkM9W7vpa3CDPFohOT2AuGoNvf9Fpss17r83Y11Pp2voSkR0rrMxYkk58biCMBq3eLabJqTuSjlts358QSvTyYPzat63HkeZXXc5s01rkkU4hpxTTqw1iQEbQiXp5L8yaUxPlmooskP7+WTbr77MXxm0gZ91+fnNzf4bLGO5/lkogq+z54hz2JS4+uVJp4P+bjKeFKj3LYpt3soUoQfnCs8dgjrfrDX2m6YzhbiXmmYLFZNrk6nRqHR1XqXQlxlLKkxX+nS63uIosBPLhQoDc417C979RCS2wuEo6p43E+1ZtPs8flSg59+tYbrB2G0xkBtfiyhcXkqxUcPqjQth7GkxrXZNOfG9q/D+LTnWT3CfNzmxurVho0g+JwpxHltMonjelwYTxx4WsBk2uDPL49zZTp5KJvvfgyfTEzlzkabWtcmG1MwBoU/K3Vz1D+33UDIx1SuTKe4tdZkPKnxh/kaD8odptI6pZZN04ySi6lU2zYLT2FY7LW2J1P6FuLu2i6u5496/4oJDbvv4fs+b8ykSAy83+Hxj/MUhyHCloWjQUhuLxCOqmVgP1WClU6P+UoHd7D5+EC961AzHJp2n7dPZDDUyJbvHyaxPe48P1usHVrIdvNmcyIXpdrucb/SoWH18fFZrll8uthAiohU2jbLdYs/vzz+RNWZz8qrHaJpORTiOoX4w3/bzUPavL6uzaaZyejc2ehQ69pMpXV0RRrd47GERt/z+ehBkEe0nT7jKYMr00kiA1WXx13nzB5ruxjXeFCujJ7rsEVic++fKMBEWmcuF3uifsTniePSPvMyIiS3FwhHWar+uI221ultKRiBgOAsxyUXU4jr8oELIA7zPA8rZLt9s7H7HpV2MOHa933Mnstaw8QHSm0bQ47wyUKVK9NPFn7dTKQJTSZpyNQ6PTQlciRK/Pv1kGCrgXB1Os29UodCfGufnefDQq2LJke2iFZ/udwkqkQQRYH7pc6OzXo3b+WPzuaZy0dx+j7pqEw2Gqyrzeec1GRSgxaJYe/fs8ylHbaX9bIUSR1HhOT2guF5SfnIkkgmqmwpGJFEgTdnMsciSX9YIdvtm43leBiqRMsOKj8Xq+aWxupSyx5VOT4Oj2o07th9lmomc/kob86k+WyxzkKquy9SGK6J/Rg+e5Hgdg9piM0Gwl73OKFJtKxAUaVhPZQNG3pWd0vtLZv1Xt7KH53NM5EMSPbuRptGXGU67XMiG2UhF0w70BWJE1mD8ZTB6WJs357hYeAovKyXpUjqOCIktxD7wkRSp9Lu8a1NBSOz2SiXpw6vYORReJzFfFgh2+2bzUYrqAKdy8Vomj1ShoxcF3l7Lktclbi11qQQVx9Lots3Rstx2VBsbq03kSMRGpZDpdOjbjrMZaPk49oOC/5xm+t+DJ+9SHC7hwSBF9ayHTwvzr1ym3xM3fUez2aj/OLmBvBQNiypy1waT6BIkR3tBrt5K6sNk/Wmxc3V1q7X994xEB8+Ci/rZReOfp4IyS3EvpCNqbw+mWSlYZIyFK6dSI/0EI8S1bZNqW3zy1slHlTaxFWZqCrtsJgPK2S7fbOxHI+1hsX3z+YxHZfFapc/uTSG5wfDSwtxdV9Vjps3xnxcZTYb5Q8LNW5vtJlI6rTMPrA1l7Tdgj+szXUvEtxsIGz2JCOiyE+/WuO1ySRvzWV23OOIKDCR0rlf7mCoEU5pUX54roDV97ix1iIbU7a0G+zmreRiQaXjo8Kimeccpmt0e4fuZb1swtHHqTgmJLcQ+8azDolW2ja31lqsNEx+eWsD33+ofLLbpn4Y57fbZhPXJPIxlUxM5ep0etREHNfkHSS618u9uYF6PKnx9WoTp++xVDMREJAjAn3XQ5Uj5GMqdt/bYcE/bT/iQby6Oxttzo7FSRvB2KCYJtPre9zZaGMoEU7lo1uMm+H3Sk2LbEzj4wdVfn+/Stvu72g32M1b0WSRpuUcqxDd9ns4ltQpxC02WvboM0/rZT0rybdngeNWHBOSW4hjge0byclclMVal2q3R6lpjzbCofLJdlmvw7IY99psNnsNCV3h9UmF1ye3fvdRosLDfrFCPGig/vvr6/zwXIF3Tma5s95Gi8qkdIXzE3HSUYXb660dFvx+Q1hPs8kMDQQRuL3R4dZaC0GAs8U4H83XWKl3OZGNPTIk+tH9CvPVDroaIRtXdrQb7GZApA2FvCiwXDN35vRUiTsbLR6UO8/MG9jtHk6kdM6NxWlZDqbjHWq18otIZttx3IpjQnLbA8fJvX7ZsdtG4vQ9Nlo2tuORjz+s0vSBbs/d0bx9mBbjQTabzetkN1HhW2tNsjGF8WTQ6CwKPmtNm5bV5165zXfmMlwcT9C0HE7mY4wnNWpdh++cyj5xXnGx1mW1aTKVNkYSW6uNh+SyH3jAUq2L58NMxqDW6fH5Qo1z43FmMsHv9lyPlYa54zcbpkMuprG5Kn+zB7abATGTNvCBtaa15fomUsGQ2J9dX99CKEftDTQth77vo0gilhPoZ67UTWYzBj+5WORBpftCe1lHgeNWHBOS2y44bu71y46hxde1+zQsh67tElUjnMzFWKp1OV14KOvleT4xNbJlU39eFuOjRIU3WiYrdYty26aQ0CjENS6MxZAiEXRFYqHWQRQE7pQ6FBMaxYTGTNbg5CP6tPYbwrIdlzOF+EOJrbjK6UIcy/H2fW2biVSVAiHi04U4b86kaZh9Vhom4wlt1BayGQlNZqNl0rZcDDVoFN+uMbqXAbH9+nQ5wscPapiDcz+s/sW9DNbhZ75ebqJKImeLcVbr1shYadp93jqZ5fTmRkF2VsIORwS9SjhuxTEhue2C4+Zevwh4Gk+33Ar6yBaqXepdBx/44G6Vi+NJ8jGNtcZA1isfxbRdzo3FOVWIjX7/MC3Gg1zHXqLCMxkDURC4udakafV5t+/x1XKDM8UYXdtlOmPw2mSKxUoHu++xVOsyl4uS3MfcuP14lSlD4VffrIxaNiKiwBszKf7yysSBrnlINLbjoisiU2md392t8Ns7ZeSISDaq8E8uT2y5R9W2jSgKZKIq85U6pVYg8fXD84V9he+2X98vb65vyXHB4fQv7mawbpf5WqqaXNkk8+W43q4b9eZwdDamIgoCS9VgrNFkWj8y7+64RZeOW3FMSG674Li518cdT+vp5uIqLfthfxRA13Hp9PpcnUnRtBzqXYer0ymKcY24Lu/4/tNajPutytyM7eskqck0NIe1ZpA3cj1452SOmCrz0YMKPdfn7kYLURR460SGjKHg+z4Th7wBNroOD8ptvMEN8Tyf+6UOje5O9f/Nz65jB6X/c7kY3z+bpzAooJmvtDF7Hl8uN/jdnUoQHvY9DEVitd7dEu5cqHW5tdbizZk0c9kopbZNPq4+scZoKqocijewfSzObgbrZmNl+CyHExDGkhqSKOw6/3AYjh5PaWSjKh/N1/hisc5URmciqR9J1Oc4RpeOW3FMSG674Hm418fNCjsIntbTDSy+GPMVc+RpXJ1OIQoCK3WT987k9/H9J7cYD1qVOcT2dTJsML44nsDqexQSKiICtzdalFo97my0MOQIay2Lm2stxpIab8ykDl0yqmk5TKUN4rpDt+eONCSbdn/HZzeHhIee83zFJBNVmEjqvD4pcnu9jRKJ4LgeZ4ux0W9mYgqqvLWwp9yy2WjZNEyHYkJjOm0Mcn4W58YSB76Wx+mJbtazzMdU2naferdHylBodB2alrPrWBzYabBuNlZ0RWImY9CwHHquxzsnsiQ0eaS/uVs4+gfn8qzWrdGcvm7PPbKoz2FHlw6zIOu47Fshue2CZ+1eH0cr7CB4Wk83G1P5/tk8mahCqWWTj6mkowprDYtLk4/fEHezGPMxlZblsFgLNuyO3d8zRHSQqszN2G2dXJxIcroQ585GizYCH89XsRwP2/HIxVTMXp+kJmP3PeYrXRK6fCjkNtycPM9HioiIAowlHkpl7WWcDZ/dZmUR1/MptWx0OcJ6K5iZdq/UQZMiSKJIQhdxPR9REHb87pDw7b7HQrU7OvapQvSJrisbU/nBuUCWa71pb+mt+9Wt0kOZNKdPQld4bTKB58Fv7qywWrfIx9Vg6kJUYSr1cCzObvdkN2MlqkpcnEhseUZ7haNfn0wiDL4vAIYSAY4m6nPYofgXef/ZCyG57YJn7V4fRnXbUeJxVt1heLr5mMpEUkeXI1iOx+31FhOp/c8J22wxBjmQCqoU4YvlBjdXmyhShGxUZnqgqrJZtqm8z6rM3Y652zqJiAKW41Fq2+RiKnbf5cp0ismUxjfrLXRFQpNFigmNU/kn2/Q3Y/PmpEgi54pxkoZCo9tDlaVHGmfDZzdUFoGH0mKW47FcN3ltIslq3UKVRGayBh/cKxPXZMZEdcczOizDcLc19/pkavT/24Wya6bDF8tNXptI0HM9FqtdOj2XhuWQiSq0LIfxpD4ai7Pbee333PcKRw/VbCRRIK5JoxzqUUR9DjO69LLWGITktgeepXt9GNVtR4X9WHWP2xT2E/LIxFTOjQUvWrnd41Qh+sQGxb1yB1EUsfoeXy7VadsuuuIhRQRK81UM+aGg7w/O5cnFVe6W2o+tytwN+636y8dUbm+0iYgi2ZjKRDIY1XJ9pUnDdEYhtcVqd9d79Kh7uHlzshyPlXowrFMUBfqe/0jjbPjs1pompRaIg5BwPq7StBxmMsH33prLsFo3+aOzeS5PJWmYDnFVYjylExGFLffjaQ3D/ay57QQzHIXT93wapsNSzWKtaWEoEVpmn5Qhc8Xpc202vWMszkHPfa9w9FwuSj6u8ieXxlitdx9rWDwNDjO69LLWGITkdgxw0Oq2Z4n9WHWP2hQOEvLIxlTkiEBSD5TxVxrm6N8Pgka3RyGu8g+3y3y92sL3fRzX40Q2yolclEqnx2RK526pzVw+2BAWkt3HVmUeBLuRniZHyMaU0TyytbqJKkt8uVQnoSucH4vzzXqbr1eaW+7R4+7h9s2p1LZpWg7fOZnlzdlHT2oYhv0ujCd4UO5gOi65uIokCHR77oh8Z9IGSUNmuWGS0GQiokDHdvlyqU7KkLcMK31aw3A/a247wRhqBKkjkIsp9FyPUsvC933kiIAPtKw+cU1mNhtoYT7qfjzu3PcKR1+aCIpm0oYyMtKOKupzmNGl41bCf1gIye0Y4CDVbc8ayzWT1YZJ137Ys7RbHmqvTeEgIY/Div1Ppg1W6iZyJMgJuX6QR6q0A9KbSuujxtz1ps3rkynePZ0b5ef2qsp8Wgzv0WeLNepdB1UOXr9hSK0QVykmNDZaFn3Pp2k5ZGPqYyv9dtucHNdDloRdzmIrNnuEaUPhdFyh7/n89k6ZtbpJ0lCw+x5O3yMdVViqmjStoDAlH1eZyUa5V+qM1EMe54HuB/vxJLYTTFqXOXEmihQRMeQI3z2d44ulBrosEhEFrkynSBmH8zwfRyzPKupzWMc5biX8h4WQ3I4BDlLd9kzPy+whDHp2+p6P0AqqCE9kjX1bdQcJeRxW7L8Y1/jDgyoxReKdkznev1cmpsoossjJfIyxpMaH96oYisiJbPACP8sw9F4htVLb5tJEgtRgptvv7lZGavqPqvTbbXO6Mp0iYyh8tljbMxy8lzFxbiyO2XOZykQDxZROjy+XG1yZTvNHZ/PMV7osVDujydy1rk0hro+KOvbyQPeL/XgS2ZjKTy4UWWuaLNZMkrpMPqbi+T5tq8/3Tue4OJ5gvWkzllQpxFV0OXLQR7Untq+Xatt+5L0+zjhuJfyHhZDcjgFycZWoKqErDx/HcQgLzFe7aJLIlU0z3FpWMGV5v1bdQUIe+yHC/eTv4oMKxA/ul3nvTJbvnMrQ6DokdHkgJeWQMmTOFuNU2z1+Vl471A3poAU4w5DaZFJHkyO8f6806pMqt2xShsJ0eu9Kv+2bUzGhbpkVt5cXvJvE1P1yB00WmUoZGGqEj+dr1Ls9XptI8uVSnb7nM5sxuDyVotbt8aDcZmqwFrZ7oAvV7hMZJ48r/7+z0Wah1iWhScxmo1yZSm0Ji4qCwJfLDdabFpocYaHSpdf3uDSRfKrnuhdehmrD41TCf1gIye0Y4LiGBdYbFmsNO8hD5QYNuTGV08X956EOcm1DceG9iPAgm8ipQoyu4yIO/m4oEZK6TDYqI4kwndH5fLHOasM61A2p0rb58F4Vq++iRETulTqs1i3eOZXF9fxRHjFlKKOig2FIbXrQV/f5Qo2ELpPU5GDWWb1LIa4+stJv++a0vZpwsxcsRwTulTt7S0xZfabSOktVkzvrLX5wrsDnS3VurjVRIiLTGYNvn8hwuhDjdCGGIAR32R+UwA9H9gyPe9DChEdVof706zV+eatEtdNDHOSmf3iuwMlcdCRu3e25vDmTxuq7gbfrQUyTaB9RJORlrTZ80RGS2zHAsw4L7LdhMxdX+XqlSdN62JDbc70t1XGPw+OKTRa3NeFemU7x+WJ9VyI8yCaSjamcKcT4uxvrfLpQC3qddJmLE0nePZ1jpWGy0rAOfUMqt200WaTb67PYCCpfo2qEStvmq+UmDyodslGV6bROIa6OFEryg2NeX2synTVGuU0AVZbwfZ83ZlJ7Vvptx1650pWaSa/v8f7dyp4SUzNpg6Qu82m7zmw2Stvu8+lCnbgmERFF+oM+uImUznhS57OlOl3bRRQF8nGFyZS+Zy/ZfrGbJ/HZYo1PF2tUOgFZup7Ppwt15nJRUoY8IjfX81lvWdQ7DumoTDqhBMYVPLaRfPOanM4YJDSZxWp3i6dYTGhbPMWXtdrwRUdIbscEzyoscBDvZ7PXtVB96DFMJPU9fn137HZte53Htdk02ZiypWF3+F3P8zmdj2H3PTZa1iiUttcmUmrb1LsOJ7IPG3CHBOZ5/lNvSLsZCQAfzdf4fLGOLgdzz8ZTOqsNa0TMw2rGzQoltbZN13GZSul8s9bcchxRgIm0zlwutq+G76bZwwdurjYxex6KJDCe1DlTjGGoEouDsTJ7SUydKsTQZJFLEwnulTo0TIekHhDbsDnZ86FlOaMik77n4/s+b5/MMps1+PhB7bERiIOqYpRbNm3L3fJvw4bzbi/49+Val3+4XeI335RRZXEgwB3ntckE+cSj36+W6XBrrcWXy4FxpUREfnunwof3gtznXp7iy1pt+KIjJLdXDAf1fo7Ko3zUeVydTu+YlVZp2zStPou1LvmYOgqlVTr2npvIoyYnn8pHEQVQJJFCXBuNcCk+YgMcbsaNbo+x5O5hzRO5KHfWW0yndS5PpWjbfdYbJqbj0bX7CIJA3ezRtV3mqx00SRy1Law1TU4X4sQ0mfulDlNpfaRveZAQ9Z31Nrbjcn4syfv3ynR6Po7r84NzBVKGzPWVgDy3S0x9ezqD5/vcXm8R1SRO5QMiXah26dguUsRjPKmR1OTRDLaoIvHP3pgchawTuoTj+rwxk0YU2XO9PEmeKhdXiWkRSi0YPtaIKJCPqxhKhI7t8PlSg7/7eo1q16HX9ygOJoCfHYsxm3k0yd7ZaANwuhDH96Fl9/nwfpnluklUlff0FI9rWuFVR0huLwAOU3fyoCGUo/IoDzpV+je3y9xYbfCg0qVl9bkyneJbs2myMXnPZvFHTU7ORhWuTKfwPJ9qp8dircuJbJSMsTtRbt6Mp9IGpXaPX97aYCptoCvSiJwVSQwahTWZz5bqfHCvwttzWS5NJFismsQ0iZV64OlIHQFBEKgOevosx2O1bnFlMsl4UkNAYHbQHLzfhm6Ae5UOv79f5cpUipP5h7nSy1NJFEmkafaomcFooZQhk9Zl5nJRKm2bn15fQxJFoqrEhfEEJ7JRNDnCn14qBuNv5CDEOpk2yMdVbqy0EARhpCF5Z6PD2TGRn1woPvJ8V+smH9wvbxmLs93I2j5GJh9TuTabodHtb8m5DZ9bud1jvhI08Cd1Gbvv0rIcfHR82HUEzebnemejTaXT4+p0ih9fKHBnI/AUe67PsDNuu6cIx7fa8EXWqz0MhOR2zHHYlVjHJYRykPMYenmq/NDTWK53eWsuw7uncyR05cCTkxO6siMn1+j2cFxv0Gy9U39y6GmqkshitUu14xDXnVFuzHRc6l2H08UYyzWTzwZ5qo2mxR+dzTGV1lmsdYmqQXHDlekUqiRye6NFIR5UFy5UO3yyUCUTVfn2XBopIvDFUn10TvtZDwlNYqlmYvVc3j6ZZSKl0TL7WL0+mWhw7V8uB95bRITxlIYgwL/59X3aVn8kGv2rbzYw54Iw4z++PB6U9y83mEwHave31tokdImba609c2y7ne902qCYVNlo9mjb/VGLyUzGGBk327/39UqTK9Mp3jmZZSZtDHJgMrNZY5QDe1DpkI+pg5ywiBwZlhP5jCe1Xdfh5udqqBFKraDB/tJEgtmsQVyTaJgPDa7NnuJmHLdqw5ehgvNpEZLbMcdhV2IdlxDKQc5ju1r7kEz6nj+yxne7T4+bnPyonNz2e7v5HOy+RzGpkTYUBILiGrPXZ6Vucm0mTUKVqcg9vn8uT9/1aJoO602LixMJLkwk6Nh99IGY70rdQlPEUQ9WQNwWa02by5NJHNnH86HW7ZGNqVuuU5ODkGpEFEb/DzCbjfKnl4rIkQgty2G+0uF0MU4hqeG4HufH4hTiKp1en1ws6P+6s96mNWjOHopG+4N7WIxrzJe7fLXSQImIbLRs7pc6OK7H2yezj6zi3O25fL5U4y05y6l8lM+XGviDY6ajzogYd/3eYp1sTOGtk1neIrtjnciSSCaqjCTUXM9HEgXenMnsub43P9ekJpMyZOpdh+WayVw2yndOZvngLtQ35dwe5eEfF4QVnCG5HXtsfvnM3sNJ1ZNpnVO52IFVNI46hLLfUMhBzmM/Xt5eYc69Jic/6ju7hUZP5KLcLbXp9jxc3+dcIcbqZIIvlxv4+KgRkbNjCTIxhbgqkezKiAicyEUZT2hstHp8uVznB+cKTCR1lusmt9ZaOK7HO8Usfc8fCRhHRIE/uVhkNmdwd6PDetNCjoikDQWr5+L7gTrIsMF6odId/X82pjKW0HhrLsvPbqzx4d0qsiRSbtvg+5wqxLhf7pAyFF6bSLJcN/lkoUZuF9HoXFQhH1cBn5W6yR/mazRNh7l8FAGBvuvxes/l6vTeVZy73eOG6dAwHS5OJPlqpRlMGBAF5nKxEQk9at2fyERxfZ8Hlc5onc2mDWYzBiICf3yhyPlinJWGyexAKPtRebzh2hrmINNRhxO5KHFd4k8vjXFxPLGrp7gfPK/QYFjBGZLbE+FZLtjhy9fZNG9LHJTif7nc4NxY/MDHPqoQyuNCIdvv20w6KB55HPbj5T1JuDWhyWy0TNqWS1KXUSQR0+njeXEWqx1EQaDUtim3bBKazLXZDA/KbdJRhU8X6owNpgoMBYZP52PYrsd/+WqNlXqX5ZrF+/fLvHc6z7dm08Q0CUOR+PhBdUuY9FQhFlQhqhEm0zpKRGQ2a/CLWyV+f7+K5/ks1DpYTqB3mTYkxpMaHw+qMjf///Be31prsdG0ycZVBIL78rs7ZRK6jKFERuNofN/n9nqbc2M7RaNfm0wym42y2jDJx1Vcz2M6Y3BlKkXf8+kOPFBDiWzJsW3Gbs9FVyLEVYnJtMF/NSxG2TbQ9FHr/pOFGlH14X0sJlT6blCtudGyiWsSZ8fiXDuRJq5Ju+ba9lpbUVXitcnkoGo3OJfxlL6rp/g4PM/Q4HFJPzxPhOR2QDzrBTt8+d6/V6bWdUaDPNOGwhdLdQx1Z37oqPA4Ut8tFHJ9pUHKkJlI6fxmoFe4WS39UfdteDyrF2zqYwmNpt3f1UPYvEltniityxGqbXtU2TZEtW0jigKZqMpytYEgQK3T49JkElWKcL/U4cuVBi3TGZ3vRErnzZk0d0ttPlmoUozrXJtNc2kiwXrTYqHWodf3eVBu0+v7ZGMKubg6yg/+6HwezwcpIuzqrWZiKqdyMZbrJvfLHW6vt4ipEnJEIK4GBRfjSY0fny/yxXKDr5YCIkoZ8uj/h2GnphXIdvX6Hq7nB7ktoNrpMZHS2WjZbLSC6QFXZ1KUmruLRkdEAVUO5rf9i3dOIIkClXaP9abF6UKc6UzQ5jC5R9hvN8PkzZkM4ymdzxdrJHQl8JYMZdTrt/l7u637X32zwcWJJPl4oMNZTGj8/ObGSAZs89p6FLHB86sIPup39rikH54nQnI7IJ71gh2+fJosMpPpjAZ5rtYtTMc7tDDD44jrScaQmL3A6h5PdZAjIj/9ao2oKlFMaLQsh7WmyVhC27NUfLPSR6ltU4xrvH0is2sodnifxhIaN9daGGqE9ECCKq5JO0h0odbl1lqLN2fSXBxPUG7Z9FyPsaSG4/rUuz1+e7vMdNZgTA6qIe9uBNOzBUHAcnwWql3Ojcf5689X+HSxzg/O5uk6Lks1i4mUFjRop3RUKbIlP3j1ESGtuC6Tdz0+WahhOi5xTSYbVdAViY7d50G5S9JQqHV7zOWjzGSiZAwZH4GNljVaD7m4StN0qHYero+kLnMiG2UuH2UqHYRGxxIa58bio/zjbqLRwxBcUpP5z1+u8vt7VVRZZKMVjJX5J6+P7ZiKPVw/e5GHJAqkDPnhVG9D2WKAPGrdl1o9Sq1ABaUQD0Kznw5Cq4X4wd/J41ARfNh4HGm/CpWUIbkdEM9jwWZjKifzMRzXx3I8bg2q0w4rzLAf4nqSMSQNy6Fp9SnENUotG6vvsdHqgAACAutNm1trLS6MJ3YQ1m5KH227z1rL2jPPmI2p1Lo9MjGFZtfh17dLVNo9YlpkB4l6nk9Sl+nYfcZTQfPyRw9q3Cm1+d7pPKWWjeuzpeS7ZjrcK7U5W4zTtvtcHE9Qafd4/16ZqCIjiYE+ZLcX9LMNie0gz6nSDu7JUO+xa1vYjstEClbrFuMpnY/vV4mrMhfHk/Q9n5WGFZBUMc5kOmiwn04bvDmb4adfr9H3fE7mo/zoXIGO3ef9uxVO5qO8NvEwDLjd89q++Z3MRSm3bR6UO8Q0aaBS0sP1mmycSLPetPnoQXXX9bNXE3/b7o9+P70L4e+17mNahHxcxe57o8pV32dLBeNxyC8979DgXqT9qlRShuR2QDyvBZs2gjlgS7XugcIM+7HQ9kNcTzKGxBoUG2RjgcXd9zxMx6VruyR0GXFgvdfNHnfL7S25uL7nj5Q+hjPuvnMyy2Ra58vlOusNa9freVDu8MVifZSnGXqKwXH7GKq0oyE8IgTTz2+sNpnKBNJR+biKJApbNkyrF3hSqhTh6nQKRQo8yl7fZzIVeCGni3F+cK7Acr07IraDhIMWa12+WK5zZtPg1HrXQVcinB2LoUREvliu81dXJ/np9XV+e6dMPqZwaSLJtRNpstGHYso/uVCgmFCpd3ucLSb4bLHG1ysNslGVxWp3zw1tt83P6XtstGwyUYVIJJhekY7qpA2F5bqJJkdG78QwHJ3QZRKahCgKW57Tcq0btGDM19CUrbJo289lt3X/5kyGE9koHz+oko9r5BMqmagymnwNR/NOHtTbOerQ4EHOZ/hZz/NpWn2urzbQBiOXXtZKypDcDojnFcvOxoKhknP56K7SVLthvxbafohrv2NINodC3pgJmqSHeopXp9P86ptSQBg+XJtNM5M1+PsbGzRMZ3SO3z6RwfV9vlp6WM4d1yXWGyYPKh2cvsftjc6u15OLq7Rsh1rX4UTW4LXJJC2rz+2NNsLg83c2Onx4rzxqCH/7ZIbvn83zvTM56t3eKBf13pkcjW5vdK1vzmZI6TJ3Ntq8fTJDWpdZa1p0bYeYKoMgsFq3+NZsmrfmMo+dgr0byi0bsxc0c1+bTXO+GAcRJhIaqhzhP3yyREwNzmGx0uF7Z3JcGEtg9V1ur7dRpQivTwpkYyqTaQNVEmnb/cEImgZJXdnSdL7bhrZY67LaNJkafN/ue6w3LWKavOv0ioQm0dokizUMR6eMJlNpIxgKm4vy3ukcUkTg86UGP/1qDdcPhJYbgzlrB1HJiYgCUkSgYTqMJbRR28JRvZNP4u0cZT7vIOez+bOn8jEWa13mK11mMsboWR4HT/ewEZLbAXEcRI5fn0zt67v7zQ/uh7j2S+qbQyFNs8dv75SpdXpkDJW/ujLOj84XKLdtRASmMkFhw631JoW4PjrHWrdHx3bJxzVatkNSl+n1PVabFisD8qh3+5TaNvfLHcYSGrVuj+Val9lskIeqtB1em0zyh/ka90odcjGFzxdrXJ5KMZs1BoUMQej0bqnNd0/l+KdvTLLWDPJWk2l9lIsaPud8TOX2Rpu+5+F7sNa0SOoKZwsJ1pqB2n+lY5ONyY8sZniUxT18FqW2jSIFrQTVTo8H1S5KRORsIY7r+8xXu5TbNn9+ZYKvV5p8PSipv73Romk6vHs6hwD89k4FKSKwUAmqNzu2y0xGGBHcbhua7bicKcSpdXosVoOQcFxXyMXUXdfAbDbKL25ujL4/DEfnYkHocLjuLk4kiIgC85UO7mCtDXvcaoZzYJWczbnL3KAH8EneycOKbhzk3J8Wdzfaj1V42e3c7b5HPqbSsoL2iiG5vYyVlCG5PQGelRrB08bG95sf3E5chiLy+mSKU5tEep+E1BO6wjuncpzMW8xXutwrdRlLBbmh9aZNvdtjrWERV7fm0CzHCyoskypNK8Ldcodap0fP9ej1Pa6vNhlPaTQth3q3x821FtmYwjfrbfoevD2X5cJ4nHKrR3WgPbnRsjkXjfPB3Qq6EqGY0LD73ujlrpsO3zqRYWybKPT2XJQuRxhPavzyVokHlTan8jFO5mIUk9pI4X+ogLIbqo95psNnsdowycbU4DjlDmNJjdWGRT6m8u7pLL7vA1m6PZf7pTZJPdA+NBRptMnFVIn7lQ7TA6ksURRGDdq6Iu25oaUMhV99szJqhPZ8n9enkvw316Z5fTK5o2o1Igb5xe3h6HRU4dZaa7Tuuj2XvuuNVETcgTXlA5bjPtXm+qTvZHWQ46x1e1iOx91Sm4Vk94miG88KLdPh5lqT+6UuPuyq8LIZm899o2VxthjnynSK5XrQDvKyVlKG5HaM8bSVmfvND24mLntALI2uw4f3Kzsq3w66gbiez83V1mgzv1tqMZ4yuDKdJKFJpHSFWtfZco7ltsXrUwValsMvbm0wX+6gKxLvnMwSVyV+f6/Cjy4UmcroLNY6GGoEywnkn75Zb3FpPEE2qnJno0PLcmmYJplosKFGIiLrTZtzxc3DLfdvtWZiKgu1LqbjUojrtCyXm2utLQr/m7HdK9DlCG27vyU/tfmZZmMq753OYTou5bZNJiojizEQBCRRoN7t4fnw3VM5XrMcbqwG2o5NMxjAmjEUptIGoiAgEkiFDTe0YQ6v23MfuaE1ug4Pym08z8cZKKxcX2myMNfF8z0SmrKjanW3cPRK3doiy2UoEUyHA6uIHCVKbZuVhkmpGfTanS7EWWtYLNa6+4puPEpo+6iw3rIw1CCXOWy6367wshmbz32oX/o0ofMXBSG5HWM8rbV4kPzgcGM97Eqq3fI35bYFwMl8nKRus9a0tpzjeDLQLlQiIoIgMJbUmUhq5OMqn8zXWKqblFs2b86mcfoeKeOhh2A5HgtVkxODcFlclcjFFHQlQrXTI6ZGOF2I0XMfbroHtVp3m5Vm9z0SgwngQ+x2L3Ulwql8jIb5cKr29mfqE2y6Xy83SekKc7nYYJhooKIhSyKni3HKLYvFmsly3UQQYDypMZeP0vc8vllvjSooV+rWKId3Mh9IAJ8uxPbc0JqWw1TaIK4HrQSZqIIcEbi93iJpyHy2EPRXbm7A3y0cXenYW+5xxlDwgUq7x7cGA3DLbfuxKiJHhUrb5pe3Svzqm9KoaOnqYLZdvets+exu79KV6RQZQ+GzxdqBSuqftgx/udYlbWw1ELYrvDzq3PcTOn8ZEJLbI/C8e0GetjLzSUKJh93Ht1v+5nQhPvK09jrHmCZzt9QmF1VIqkEl4n/8dIXlWhdBEECA1YbF1ekUn8zXR0QBwctr9lxen0zwo/MFPrxfpdzuIQBvz2V4YzpFw3J2SEbt53k3zR6CIIxmmA1DQieyxo7nsvu9bJOJKhQT2kglZPMz3UyI1U6PjabN6WKMq9Op0TDR4WdXmxZxVeIH5wrc2Wjzxkyaj+5XKbd6nCoEo3eShsK5Ypybay3a6w6Xp1K8Ppl8pGxbLq6OCkd8H+YHRTz/5PUJrL6LJkcoNa09v5/QFd6ayzKe0rc802Ef2+uTSVYaJilDGVV4Po9NdrHW5UEl8FAhiDJ8tljnZD7K1enUls9uX6fFhEpm0Ed5EEPwMIzHpKHw9XIzMFZy0V0VXh517sPn8TITG4TktieOQy/IYVRmHjSUeNi5he35m8hAfPYvr0zseo5Ns8d8tct8pUO352L1XUQRvlxqcGO1gSAI/OnFIsWExs21BildZjKts9LYWimXiwe/+ceXipzIR1mpm0ykdM4UYqM82uaZcft93rVusDm8OZvmD/M1XM+nZfUZTxk7nstu9zKuypi2S2ZAUNuf6WKty/XVBnXToWX2EUVYrHY4U4iNhokOP7vesFhr2FybTfPOqSzVTo9ur89YShvlEhvdYDTMd05mR/PVHqdHunnd2X2PuCbzV1cm8X2fOxttslGF4mMG1j5q3T2rnPXjUG7ZxNVAPcdy3EBSrNfHtF2K8Z1TBLaf92eLtQMbgodhPE6nDRYqXW6vt8jHtV0VXh537q8CQnLbA8dBVftZV2bC4ffxbc7fQNA8fb/UoTEI+2z2lhJa0Pt2a61F03I4V4xTNx3emsswltQoJDQm03ow3PNWiWq3x5lCgvdO5zDUyK73aDJt7KtB+XHPe0i6Xyw2KMSDHrIzhUAqKx9TOV2M7Xguu93LqCpxbixOJqagypEd57tcM5mvBD16PtB3A3LpuR7fPpEhpkpbKiu/XmmiSCLfOpFmpW7iDDfoXgRdkVDloOH6zdmtGp6Nbo/KwJuudXtMJHVOFWKjTXC47s4UYxQTGr+7U+an19epdR0mUzqKFGEypR+7DfMg0Zbh8xEFcDwPVYowlohyfjy+L0HyJzEED8N4HD6f7dWh2yXmXnWE5LYHjkt11LO2uA67j29z/mYotZTUZJp2n5bpbJHYelCpYzouF8eTNEyHlXogY6UrEabSOpV2UDH59zfWKbV7SKIQiPDq8r4EmGHvBuW1hsV606Jt9THUCCldGXkqvgfVbg9ZFCi1Lf7Ll6u8fTLDe6fzKJJIt+cOZog9PMZKI2gNSGgy98ttOj0XRQoKJ4Ykstukgqgq0bT6o0nTUkQchCJVZrPRLZ+dThucLcZRJZHfP6jSMh3ulTrEVQmz5zKbjSIQFGx8Ml8dNVMrEZGVhsXPbqzx0b0aqiKSMRS+PZfhh+cKZGOB2HJMlTiRi7HesFiumRQTGmOJ4Hnc3WixWHv2ebLt2M909L2iLcHk8GC2Xd/zkUSXSxMJJlKP9kqHeBJD8LCMx1fREzsoQnLbA89bOud54aDe4nBzsR2XlKHQ6Do0LWdkNU9nDL5eae5o/M3FFOpmb4vElq5EyEZlPM8f5aSalkM2plJMaDhujQ/vVem5HhFR4Mp0ipTx0MJumoE3Uuv0kCWRieROz2I3D+3ORqD0X+84AYl1BQQEqm2bmazBL77Z4Ju1Fm/Oprk2m2ah0uXDe1UmkjqaHEh7ncgExLO51D+qRkgbKq9NpegPhqDOZIwtRLgdCU3i/Hic9+9UEEUwFIkr0+kt17n1WWX5ZKHO54s1vnsqxw/PFfhyuUHb7mP2+owldfqux9/f3KDWsXl9MsU7p7LcXG3xv3y8TN/zEASB8aSGKomcLsSQIwK/HlzDdFrnbrnDQq3LVNqgZTm4no8mRw5k6A09372UZZ4E+52Ovle0pW33R7PthtPKM1GFtt3f83jbJ4Mf1BAMBY2fHUJy2wN7LcJ8TH2k/NPLgEdp0m1+uYcJ9bWmyelCnF99s8KDcoeptE5UlZjLRbk2m+ZsMcY36+0dL/NKw9wisWU6fS6MJfnHr48RUwPZK8f18AmqwS6MJygmtNFGVIgHmxFAuWXx6WKdOxvt0SZVafd2JNl388i/2Wjxg7MFLk8n+fXtMjFNwuz1AwMHgd/eLrPesgeqJ1G+eyrLR/M1omqEC+MJNpr2qG1ic6n/7Y02pVaV0/koPzxfoO/6fPygihQRtjQgj6YfOC6u53N5MslkUmetaTGRDEKxw2Gm25HQFfquRyGu0+j2eWsuw5lCjJblMJ7S6fU9PnpQZaNlIwoCN9aaTKYNuj0Hux8cz/V85isdCnGVcrtH2pDp+z6n8jGSuoznw29ul4IZb7HgGqODKtRHYXhdyzUTQRDQJJG1hs3XK80D5a/3CjXuZzr6o6Itaw2Ttt1nKm0wldYptYKeSQ84N5bYcQ67TQYfquzsN23wLFMNz7sg7nkjJLc9sNsizMdUvllv88VS/aUWHN0N21/uphXM8rq+2uBsMTFSZvd9iOtBpd3Qan73dG5H5Vw2pvLlcoPPF2roSkCEqiRS6djYfRdDkbYQoQDYfXcUWhuGI9fqFl8uNeh7Ph3b5X65w69vl7k6neJbs2lWBs3QQ+zmkVfbPXp9j2uzafIxFdcHTRKpdHp8tlTH6rv4vs9y3WS1bnJuLEGl0+NkPsbni409S/27tkvH7vP5UoN0NLju7ZMcNt/XuhnkEEstEzkiElUlal2HmCpBFn55c51UVOFENorr+SOtQCkiIuCjKxH6rhcMLY0q2H2Pf/fRAp/M15nJGkyldJqmQLllUUgEU7m7PRcBEF0B2/GYTGpYjocmiVQ7PaKqyOtTSf7i8iR3Si0yUXVfht7m61ppmCxWzVGZfdNy9p2/flShT73T2zIdfdiovlns+lHRlrGkTqnd4NOFGvl4MHUgOaig3Y5HTQbfb0h8iGcRUjwOBXGPw1GTb0huj8D2Rfjlcp3Pl+rHZnT7s7TMtr/cQY6sQ910RlbzkDCGm8vQar46nebq9M4No2P3uTSRYC4Xo2X3KbdtzhbjpKMKGUMhrue3XNNbc9kgvzLQExzmV1YaJl8uNXh9MsWVqRTldi8o6c5Fd0xM3nW+2GyGiCjw5VKDlKHwxlSC9ZbN//fjBVwPVCmCJns4rhcUGgg+r0+maHSdR5b6z1c7CC0QRYF8TN11ksPm+2r2XO5stDhbjBPXJKqdHsWEhiaJfPygxkbLxlBE+q7PvVKb1YaFIolcm0nzxkyatabFvZJFXJc4lY8hRQS+WWvh+T6L1S7ZqIIaEUnoCmlD5u2TWX55c4O+55OPKrx3JkdUjfAPt8v8+psyKUNGlUQ8X+C1qQQnclF6fZeJtP5YQ2+L5JPjElMl5isdLk0kmMro3N3o7CD57WtZlUS+XG7w85vraINc7WajaSpj8PlSA89/qLzxxkyK6rb+ut1CfpW2zZfLDX51a4NSK6gofWMmxQ/PFZjZ5fN75eDXm/aWqttHXc+z3COOQ0Hco/AsyDcktwNgvWEdiyITePaW2faXe6hRd3OtObKaI6KA5/kjJf3H5ShnsgZyROD9exU+uFdFFCCqSEREkT+/PM6pbQUXm42NzxZrrAyeR9d2EQR4/16Zk/koJ3NRvlxuUG7bfHsuveM3dvPIb2+0adt9mlYfVRKZSOlcnkrxxVIDEMlEFV6fSjKXi5LUJfIxjQ/vVx5Z6p/UZDJRhbl8lHRU4fZ6a8dmKwKFmMrtUotKJ8gZdnt9fnC2wNtzWdaaJr+8tUFcU0a/f3Otye/vV0jqgRHQ93xurbW4sRYURggEXuy3TqT50fkC/+WrNRw3mMjwrdkMKSN47b9/Ns+bM2lsx+VUIcZrkwkWqyafLtSwHJcTuRR/f3ODL5Ya/NGZHFenU5wuxDiZi7JUMx9p6G1eLzFVptOzqHf7o+b7ctNCEgU+X6yhyZEdhSDBYNgU36y1WGvaCDyUmNIViXK7x6lcjG+fyIyks2odmx+eKwTK93sMta20bWrdHvdKbf4wH0wVSOoKDcuh2rHxPH/XqsOD5OCPg9d0XAri9sKzIN+Q3A6A41Rk8qwts+3XPlTOf3MmQ7kdTGV+YybF3fU2siiyUGlzdSbzyN6b2YzBUtXk1mqLhCaPNrDFaoevVxrE1J3jUobY/PIaagRNimBFPMptG0OJIIkCrw+mau+mILH99zQ5QsqQRw26xbjKTy4UOV2IUWoFTbInslHmNnmD+yn1/4kqkTRkal2H75zK7mgY/2atje16nMnHaXT7fLFUp2X1EUWBptXjQblDXA02dQEfRRL5eqVJpe3QdyEbVViodvn5zXXGkjrFuErHdvnZjXUSusQfnc1TSGhsNG2+PRdMNfARyMYU8pbK+WKcvudT6zo0u32W6ya1rsOlyQSqJPL5QtAgX2rZ3Ct32GjZyJKI5/mP3DyH96Zj91lrWjwodwJtUNfjq5UGJ/NxRGC+0qXnejsKQT5ZqFJMqEym9ZEO5VAXM6pKTKd1eq6HJAqYjktCk5nNGowlNJJ7DIMdks5QSPp+qTsizFGf5R7FJAcpBDnqd3M/XuFx2qt2w7Mg35DcDoDjVOn0rC2z7dfe63uIosBPLhQotW0sx+OfvD7O+qzN/XKbxMBrub3RRpMju77UCV3B832ms8aoTSCqSJRaPa6vbB2Xst3q3fzyJjU5mL8WEZjNRmmYPf7iygTTGYMP71X3ZUHvRniSKO6YFr05zLnXenhUqT9stexLLZs7pTYnskHxzXDCdj6uUkyoaFKEjZZNtdNjodblTCHOxfEkK3UT0/FGo14aZp+43sequ2hScB9XGxYbgsCd9RbfOpEhZcisN62RzmNCk/jb6+t8tlAjpkojSS7fg0qnh+l4GKpE33eQI4F0mqEEa+xUPoqhiORi2khWrWX1OJE1ttyb9++VaVl90lFlVNxzfaXB2UIcOSKiSBE+X6rvKARpWy53NtpcmU5tkZmyHJezxTgxVdrmHZkD8eXHq+8cVEh6uD72WwhylO/mfr3C47RX7YZnQb4huR0Az6Opei88a8vsUdc+bJK+V2rRsh0K8UBx/+ZaC8cNhJj3ukeT6UBHcrNHWGrbfC+W2zIuZbvVO3x5r680BoMzZa7Nprk4HkeWRGYzBvfKHe5XOnTtYLxH13ZZa5o7pnLvhUxMfWRj7OZ70jCD5uZiXHtsA/CWPJvjUoirVNs9VFnkv317dlDo0Wcilcb34Ve3S/zuToVSy+bn8gb/jx+d4dpshl/c3KDTc5lMBWXp+qA835Y88nGFK1Mp5IjA6UKM1GA4bDQX4/pqg6giYboe8+U2EykdSRSodXtcnkrxnVNZ6p0eiiwCPrMZg7guAf5ojeVjKtdmMzyodFisdplK63znZA7LcfnZ9TWmMwbXZtPEVIlbmRb5WFCwYTkul6dSLFS7tO0+s5ngOX6kSlsKQWJahIQuU+s4I5mpctvm/HiCN2dSo2d7EO9oSDoHFZLe/Lz3s26O8t3cr1d4nPaq3fAsyDcktwPiuDRPPg/L7HHXfq/U4e5GZ8e/P8pi3X4dXbu/Y1yKIol43tbvZWMq12bTiKLAnY0WuajKbM5AFAVmM4FuXrlVpWv3R1O5faDUgltrLS6MJ7aQ0PY2h+FvPA4Cgcq9IUdYa1jcWmsxORh787hNFkCKCCzXLKSISLXdQwR+c6fMX1yZxOwFM+uapsNURscYtEd8tljjh+eLZGMKG02LqzNpQOCDexViqoQcETiZjw28qwjlTo+O5bLaMFmqmTiuRzaucmO1STqqYjmBXuSliSQ91+N8MY7Zd4mqEqokUmrZTKUNMlGZYkJnJm3Q63vcK7X5dLGG2fNomj1c32c6HYy+ef9emStTad6YSdH3PFqWy3ylw2w2yvt3y6w3LSRR5P07Ff7Zm5O8fTIgStg5bdvzYSypcW02zbmx+OjZqpJIIf7Qc9xoWY9ca0PSGSrj71dI+qA4ynfzIF7hcdmrdsOzIN+Q3I4YR1U1dRwtsyexWLdfx/ZxKfm4ykRSo97t8Z8+XcJQIsxmo0ymdNabFnc3WvgePKh0+cWtEqok8n/+7gneOpkdTeV2XJ/XJpMYSgTLcUkaMusta0Rum0M92ZiKOBBG9nz/kURVadt8eK+KJot8NF/jDw+qGIrEeErlwniSP75QRJVEFrZJfW0PqRqKxJ1Sm67j8us7ZVQpILGm5XB3o81awyJpKMxlo4NK0AbZmMrFiQSFuMp4UsOdSjKZ1lmtm8Q1mamMjiCAIkWYLwcjepSIyFhSQ5cjFBMqtY4WzMnre7w2meQXtzb4fLHOd09lyUUVLk+n+MurkzRMh8WBpyWJAj5QbtusNCwKcT0YZqpJLFa7bDRtErpMVJG4vtIgH1eJqTI3VltMpQ3KbZu7g6b5bs9FkUTev1vmz69McnU6RcPaOidOigi7iv1OZ4KxPtVNgtzninEm03uri2wmnVLbpm3vT0j6oDjKd/O459IOgqMm35DcjhBHXTU1XBwt02G9ZfHlUp1U9PmR3JNarJsX+eZxKZosMpHU+HqlwVIt8Dp84I2ZFH/++jjLDZPf36/R3/Smd+xgQjbAqVyMf/zaOOutHpW2TaVtc7oQZzZrbBlpMgz1qJLIeFLjo/kaXyzWmcoEIdOgcjLJat3ccn8Xa13Mvku31+ej+xVqXYfVhoUcEfjQrAT9eYLP54uN0f1YrVtcHlRd3h/MqSsmVF6bSnJpPMFM2iBlyGy0TPSSGCjwt3usNwOPMhtVUGWBqbRBLqaSNhQkUSAyCCvWTIfFmsnv7pZ5+2SWP75Y5MpUkm822izXTSYH4tEJXSFpyMzlozh9D7Pn8sG9Cvm4St/z+XKlORoddGe9PVrDyzWTtabFTNYYjCQKRu38/MY6/+XLVU7kY2iSyEwmypWpJJWOzffPFDDUCJ7n8/Vqk7guU2rb1Do9UoZCQpOptC3++NL4jrVxdY/ikJgqcWOtye/uVAbSWQLvnclxbmz3POdwne1GOodJbJuPdRTv4HHPpR0nhOR2hHgWFY3Hoex4iMOwWBO6wtuDcSmeF3gvpZZNqWWPSOzThToXxxOMJzQSmky1+zAkM5ePMp0xRhWSuhxIen02X2O9ZbHRslhrWvzppeLoO8NQTyGu0TAd7pfaJPSgerNj9/nFzQ2CKTsCny81mMtF+eG5AuWWjRoRWWwEnpHlBDmjbs8locssVDtIorBlMOk36y1O5qNb7pNAkqgaIRMNDJX5aoe+62P3PeZy0VFuaL1hkY8r/MXlyR3ehi5bfLPeZKM1mFowkyapS7Qshy+XmtzeaAXhq1YQ5kxoMrVOjzdn0hhKhM8W6lyZSiJHRLp2n7GkxlwuuiO31bH7/GE+8FYVScCQJWqdHl8s19EVibgq0bL6vH+vzOlClLNj8ZH252rDZLVhUes49FyfqCrTd31c3yOf2KnC/yhsDte2zD6yJLJQ7XCv3CGuSXuGlI9zqG4/OI4Rm+OKkNyOEM+iovEoCfRJQqpPsnnslu8aqj789vYGDdOhs6nYwPV8lmsmZ4vxkWSW6/kkdZkfny/w1XKDaieYWL1a7xJVJd6YTfPr2yVKLZtev8l35jKj3xuGevJxlaVaF3egrB/oXgakVWrZTKeN0f29OBGoctwrdcjH1VFOUBAEDCWCKAQ9aUMB5SE8P5ianI+pQasDQZO4D3yxWOezpTrFuIahRFhpmCQNmbfnMpzMRfHxOV2I4/Q9rq82tmh5er7Pd0/lR/mzWqfHaiPwYDVZJBsN9BM3n7+mRPhssc6liSCk2bnlYju9kRizJom0TWe0tsxef1QIcm4swUTKoNq2Wah2kUWRf3J5nKm0zt2NNh/P1+i5PuPJh6T1zVoTTY7w+lRyX0M2H4Vyy0aTJdJC0CbQNPuUWjZfLzfQJJGT+Z1TGnZbb89blmqzRFlUlUgZMrocIfeI9+hFJ+hnhZDcjhDPIj7e6PZGag7DpLq1TeLpSXBQj/BJN4zt+S7P97lX6uC4HoV40Of09skM/+tnqyOl/IgokIkF4bjvncmTj6uUWjaXJhK4HizXzVHeynQ87leanCrEOF2IocriaCrBEEN1/bgaNJDf3mgTEQUsx0WVRJK6QsqQaZpBKNPzg2O8NpFktW6hSiLvnMry85sb5GIqUTXCyXyMqYzOVyv1UQM2gKEE7QVDYWJFEjmdj/H5Up0bK02urzYRBPj+uQJvz2VYrHTxCQhwKqNza61Jw3R2aHl2en2yUZWfXCzy4b0Kny3W0eQIH9ytMJePjWSvhhWow/NfSAXz4+ayUd6cSbPWCErqVxsWb53MkIsFAtayFKFhOdS6DhFRIKHLnCvGWFQijCWDmWIty2GtYXGqEOPKdJqZjEFyk3f5uCGbBx1X47jBed5cbSJFBAxFIhdTWayZyJK45zrdvK5tJ5jFd2U6SUQUdhXbPioMz+XGaoMHlS4tq8+VgWzcvVKbt+ayIYk9BUJyO0I8i/j4bDZK226yVDPJRhXOFuOsNaynJtCDeIRPExrdnO8qxBR+eavEL29tcKYYRwCuncjwxxeL3FhtcXu9PZJJOpGNkhroAGZjCmbPJapE+Hi+NiI2gJgmke4r+D7BNGvTodQK1DGaZo+ErgxCPVm+WGqgSAI/Ol/g86U6Vs/F7rt872yeU/kYf3hQBT/wNpJ60N7w1lyGctvmz69M8NZchmqnR0yVSOkyUVXiwqAnbXhftst2DUOhf3d9nemMweXpFL2+R6lp07ZdkrqESDDap951+HShxkTKYKnW5de3NxAIPMV8PJg5t9G0kUSBmYzBeFKj23P5dCGQIhtOWhAFRuf/g3N5Kp1glNDpQoyvVprcWmvx5qyCJIqIAhQSGqWWRdcORvtcnU5RiKvcWmvxoNLhe2fzfLZQ56+/WAl6zeIq/+i1cb59Ik1Me0hujxqyWT3gGsrHVPIxja+WmrTtPhFR4M2ZNAlN4k6pQ2KPPNqWde0H0w3q3R7NrkPT6nO/1HlmIf3huZiONzKAh7JxoiiwWOse6Dye1iM9Th7tYSAktyPEUcbHq22bUtvm5zc2uD6YUN21Xc6Nx/fUxzsIDhJSfZrQ6OZ813rL5qdfr2P3XZpWH0UU+N8+X+HSeIL/54/PcH21iev5TKSCQo+e63G33Bm9jLmYwmRa585Ge7RZ6HIEVQoIoG31mcvFmEjpeJ7Pb++UR9ZxQg96sDqWy7unc5zMxwKty0KMXFzlQaWDKIqcKRrENJkT2ehobpvT98jGFE7lonR7fVYbNrIkMJnSGUto3N1os1DrktAkZrPGFtmqoS5n2lCIqRKO69HuexhKBAG4OJ6gbbvkYgq/+qYUVGMmdRarXZqmiyaLg7FACq4Py/UuZ8fiIMBKw2IypfOTi0V8fDQpgqGIvD6Z4kw+tmMzE5QIAj5JQ6ZhOrx/r0IuqvLP3pzE9eIs14MQa9pQsHou85VAhf/WWoulepezxfig51ChYwXjg2Y2zaAbvg+7Ddk86FTrruNyaTJBIaEOBIxV4qrE9bUmAsIO467StmlaDl8vN1ltmJwtxBlLaizVTEptm3Knx2zW4OZqa1dSOYqNf7lmstowKTVtImKgGtOygvaP6bRxoOjL0+bej1Pu/rAQktsR4yji45W2za21FisNk3+4XaLX90gaMhMpnY7t7KmPdxAcJKT6NLnF4XFUSeTOhonddxEEgagSoWO7NE2H+UqH1yaDIZLDJundXsbtlYgdu89aI6jsE0WB//jpEpcmk3znZJY/zFexHY8zxfjo+RSTGl+vNGlaDqoUeAK311v8w+0SluNRbff43tkc/2g6Ra1j89PrGzyotImr8mjEz7unc1umXrfMHuNJjVRUptLq8dVyAwEB2+mjyhJ236OY1CjEFTZaFktVE3OQN/uz18dJ6jKnCnEWqh1OF4JpAx3bYTZrcCJr0Lb7GIrEg0qXnuPxg3MFPlts8D//fgFDieD7Pj84W+Avrk5gyCJXppP0+h6LNZMP71dYrZuosjSaaJCLqXxwr0pnUPZfocf9cofvn83z2kSSL5cbfLFUJx/XyCcCVZjVhsVGK/BYk7pM2pBRZYmVmklSl7m70X6k9BkE4fVHraHt5AKBMstMJorj+lxfafDh/SpxLcKPzxe3REeGa8X1fVRJpN5xSBoyH89X+fnNEq7ns1Tp8vpUkvPjiS2VtJu/f5gbf9PsIQxaTupmj6bZp5jQmEprFOMaPddjKra/oanw9Ln34y60/CQIye0FxGKtS7Xbo9QMCgR8YKNpYSgR0oZCuW0/9TG2h1SHFv+pXGzHZ58mtzg8Ts/1KCY0FElkLKGjREQWOl1c3x/MH3MDNQm7z1tzWZrmTkX+7ZWIdzbanB2LkzYUbqw1EUWB9+9WiKoSkhghn9G4vd7m+koTTRY5kYsyl4vx8YMKc7kodzZa/O9frwX6hoLAZEan0raZr3RJ6BIfP6jSsvojfcLVhkmt2xttBpW2zfXVJndLbRKqzFRaJxtXcfoe4ymDerfHRsvi6nSKc+MJ5r9eQ5aC8vo/OptHk0TulYKQ7UbT5vf3q/z9zQ0a3R7//M0p5vJR6t1A2eQP81X+0WsBGX5wt0zbclAiAqIgcHu9hdVzmUhpg9YJj4ggBCOKECjGGajtt4kqEq9PJpivdJEiAh3LRY6IrDctZrNRzo3FMdTIaDLDWiNQlAFoms6oIMJ2+iAIfHC3EowN6rlcO5HhTy4WGUvqO8hqLKlTiFtstB6uXVGAYkLdlVxShsL0wEvPxoJwfCaqcH48sWOG3+bQ99linB9dKFDr9PjgbgV5MLFBkUU+uFelmNS4Op3askZXGuZovt0wr/20G/98tYsmiVyZTvHRg+ogT27zw3N5pgbrbDtBP8pzfNriteMutPwkCMntBUS5ZWM7QYOz5/s0TCdoTu444AcVe8N80m7Y7UWRRIFS26Zr9zFUifymkKrtBBJaja4zGsq5+eV6mtziMFS1Mihk+L+8O8fniw2W610c1+OfXp3iZC7Kz26s8/ObJTzPHwnpdu3+lgnfng+LtWDeWjamIgJfLTf59e0SC9UuTt8LNt6+y7lCgr/9eg3L6SMIAjfXWnzvdI6/uDJBXCsgCMLAMwiuwe57gZpI3eL2epvXJhP86aUxPpmvca/c4cK4xOlCnHulDsu1LmNJnU8XavzyZomvVpuIAnz3VI4fny+QjipBs7rvU273KMRV3pxJo8uBjmQ2qqDJET5drHGumCCpy6w1LX769dpIDeVBpcO3TmRIGwq1QVHRmUKML5aCQpLLU8HvJ3WZdFSh0unRWe7z//lgnm/NprEcl6WaxURKozW4j3FVDqIAg3zVWt3idDGGIMAvbq5zMh/nvdO5LfPLUoZMpqnwnZNZ7pfbpA1lUPWnIInw0YMqK3ULXYnwyXyVyZRGpdPjowdV1jZ5jRMpnXNjcVqWg+l4ozW0WUZtsyGzWu9SGOiJ3lpr7VAw2f6++P5DZZIr00n+MF9jLKmT0CR8oGX1g8kJtksxvrUtwfV8fM9nsRE0i58txql07B2qOQfBesNirWGPimvWmhYpQ+ZUPsZkSufUpmrP/XiOT1u89jI1hw8RktsLiFxc5W6pzelCnNcnk/zsxjqCIBBXJS6MB2ru89Uur0/ubxzHZFrn0kSSb9ZbrNRM8olAAf9MIcbV6fRjX66nzS0Of8PsOaQNhRO5KIvVLuNJjXNjCaqdHr+8FYSPAGpdh7GkRst2tpDb9pfRcjx+c6dMtdOjZTvUuw7ZmMobU2mW6iZ3Sy1mMlHadp+O3efvbqwzmdb51mwaSQomC9xeb3Gv3MFQIizXe9S6Pa7NpvndnTLlTo9vz2VwPY/pjMEf5mvUujbfms1Savf46dfrqLKILAr0XI/f3S1zKh9FlUUyUZ2T+aDh+PZ6k3LLZq1hgQBfLTe4td5iMhnoNd7eaFHr9lCkCA8qXTRZJCIK/O5OmT+/MsHF8QT/8+IC9U6PhKFwt9QmG1WZygQTvAtxlYmUxmrd4uJ4As8P7nmpbZM2ZLTBlO+IKHAiF0WTRCCYL5eLq2w0bXxE7pc7nBuL48OofF2RRKZTBj88lx9MAO9zKh8lEhH4h29KQb4wHuQTqx2Hbs9ludbl5zfWMRRpNMJmpW4ymzH4ycUiDyrdLYok5VZ1h1ehyhK+7weTKEqdHQom29+X4cZdatvcL3cGUx6Cobe1gTTbWFLl3KAvb/P78tlinb/7ep3+wLD6zsks3z+bo2X1+dn1tSfKweXi6igEXkxonMgG0YuYJo20WofYT8jwaYvXXsbm8JDcXkBMpw0Wkl3WGhavTSYZT2r0XJ8zhRhKRGSpZuLBrkMUd3tRvlis43pwd6PF50sNIoOKxLgmkTSUfb1ch5FbtPs+3Z7LTEZnLmsgiAJmr8/nS3UcNzi4AFQ6NhfGgyGnZs/d82UcKnDUTQdZFEnqMlemkuTiKgvVLvmYhuv5dAZtAa7ns9KwWG1a4AeVqCdyMdYaNq4XeMivTaYwHZdb6y2W6hZTaYN3Tufo2C4Pym2mBm0Zi9UuKw2TuWyUC+MJVhvWIAwZDGTNxx56B1bfC0KlEZFf3NygaTlIEZFvz2VJ6jKfLtSZzuhMpTXShkzL6pPQJYxBBaUuB31yX640+Ksrk/zj18dZrAb9fbMZnTdmMtS6Dt9stMjHVTJRBVUS+c5cltW6iS4HfXljSR1RCPQuJ1M6Hz2o8clCnVxcCULFkojpuFsmbNc6Dj++UODNmRTnx+P0nKAYptS2WW2Y+L5P1/YQBYGYGqGQ0Li93iJlKLStQNB6OOamafd562R2xzSFvbyKibTOXC7G3KZQ+W5RiRPZKAu57mjjXm2YXJvNcHEiqGQtxCOMJR5OdNiMxVp3IGkmUe86CAQC4ZMpjV7fY61pP1EObjOZDCtY53JRJpI782z7CRkehoH5sjWHh+T2AmJz1dl8pcu5QV5pvRnkeBzX47WpxK7f3e1FqXZ73NlooQ8seNfz+XShzpWpFOfGEs8sHl9u23z8oEpSV4hpEfKDHitdiYwGoaYMGVkUWWtYfP9sHtNx93wZN5oW58fiQal5pzfQOZSoDPqrfB8E4eHk8IgoUIyr6FIgNhzXJK5MJynEVVbqJoIAIPDLWxujkKUowNlinK+Wm6N5ZENNTE2OYDouxqA5dyyhcW4sTjGxdXLARFKn0u7xrdk0U2md5Voge3VpIsF602al3uXd01l0ucj9Uof5ajBG6OJ4knxM5Vc3S1ybSfPuqRxjSY0LEwmW60GY99xYnBsrTb5abvD1SpOW3efKVIrvnclxeSrJ98/l8QcamgBfLTXRB4Uow+pUQ42gySKvTSaRRZG+H8yVyxgKlydTtMw+36y3GUsGc+Mc1wuuM67z6XwdKRJ4fd8/l0eXRHp9L5ATS6hYThDbe1QIbL9eRcsMKje/XK7T7XlbSOe9bRv3cDbf9srN7Zv5sFl8JmOQNIKGdrvvsdqwOJGNsta0dzX2HoeDkMl+Q4ZPK8f3sjWHh+T2gmK4EKfTQTjsf/pwHg9I6zIXJ5J7hhN2e1H6rk8uFjRCD+F5Pk3L2fM7hxWP32xpe77PbDbKat0aeFY9prM6s9ko3Z7L/fLDysS4FuQF96oKbZo9WrbLX3++wkwmSlSJUGrZLFW7pKNB6PPHFwp8cL+CJApEVYk3Z9KcGJSu67JIXJOodnvEtOD/fvr1Gr+5W8bue0REgXIn8A4SusTZsRirjaCfbaNlcSoX5bXJJCs1k9W6Rdvu81dXJ7g2kya7y6Z0phAbhcsujCfIDJrG83GF/+rNKRqmg+N6XJpM8vapDLocIa7JOK7H987l6PZcxpMaH9yr8uH9Croc4b3TOZZrJvdKARnm4yo+Pl+tNDhXjDOWVAftCy5TKZ2G2aPSsVFscTQS5vPFOqfzMc4V4/Rdj08WauhyhIvjgfH0n79c5c5Gm//Dt6f59x8tslgzeftkhp7rMZ7S+BfvnGC5bmIoEXQ5wr1yh/GkzlwuKIbJD9bWo0JgjyOCStvmXqnN7Y02jusxMRDVblnuiHSuTqd3XSuP28yHa19XpFEI/EG5zVgiGOs0xJMYe/slk0eRe7Vtj4S5i0mNjKHw8YPaS1XS/6QIye0FRqVt88VSA0kUuDYbNBPPZqNcnkruuZB3e1HensuS0GV+f78KPBzjMuyVO6p4/PZc3kbLJBMNiiualjNSbv/Hl8f5529O7doftReG1WhzuRjv3ytj9TwMNcI/vTI5qqZL6jJzuSgLtS4xVWIipaMrETRJJKUrxHWZqaSPabvENInz43F+e7eM7/ukogrfms0EaidWf6RyMlTft/ouf3yhiO24PKh0mUzrpKMKt9fbNCyV6bQ/ekZd28HHDxqxLYc7Gy3MnjsgOYUvKg0+mq/SMB3Shsxbc1l+cqE4+v65sQT3Ntr89k6Zf/vre5gDjUtNjgReYcchoQdFHqIgYPVdjIGKyv/00QJ31tv8t9+Z5dsn0pwtxvhmvU2lY/ODc3neOZkhqsl8sVRno2lR6fRYqpp891SWayfS3Nloc7oQo2P3+ehBbZAXFXhQ7vDTr9f4y6uTqJLI9dUm90ptfnyhyERS5/JkkpgmBdWxSe2x3sVeRFBp2/zi1gYfP6iyWDVZrHV552SOb8+laZodPMSnijDstvbfnM2QiSrcHIxkguDfp9M7q0API7S3F7lHRIFf3SqN3p+m1UeXI1xfbaDJwdb+MpT0PylCcnuBUev2uLXexPMY9MgYmI5LtdvbkZQeYrcXJR8LktuFhIJhR4ipEd6cyYzyD0cVj9+ey4urMvdLHeYGahpLtS4TKZ2oIj3Syt2+oZzKxVhvWDyodDhTjJGJKoHUU0zl7HgcQxFH15WNqbxFdsdv3VprMZ0xiKkSggBfrTTIxVT+X39xibsbLSKiSCaqIIoCxXgw/PTSRIJb620Wqx0mUjqFhIZpOxSTGjfWWvynz5bR5Ain8zGuTKc4U4hR6/Ro2X2qnR4d2yUbC1TyP52vc34swUrT4oP7Zbo9F9vxWK5Z/KpXYi4b3XI/qp3gvK2BNyEIAp7vk40p3Nlo07SCsTXD4pGoKlFu9VismvQ9n/lKh/Pj8VEDu+m4tK0+2bhKreOw3rRQIhGSmkxDc7ix2mQ8qXNlKkkhrtG0+kgRAcf1aFnB4Nalmskf5mvIEYHPFutEBmX3Lctho2Xx33xrhvMDD7Datkdi1/shhUrbptbtca8UkHpEFMhEFearXd6/V+ZkPkpcl+kOGuCfFHu9L0MvERiFpndOBz88r2m39b+98V2JiDyodKibDmPy1iriF7mk/0nxwpPbyyYZ8zhsD+OdKcRHYbwhErq8azHJELu9KJocoZBQ9ySvg8Tj9/tMtufydEViapD7OVOMcaoQ3dcm95tNOo1Nq48uRZhKG3xwv8Lv7lY5mYuOFEpsx+Wb9TalXc5t+2+JgsCNtSYt00GVJRYqwcTpt09maZh9RJGRFuFyrct//mKVTxdq2K4XhBAnUvz55TFurDb5X/6whDQgxGD4qs8vb24Q02V+cXODf/imxHhK52TO4NxYgh+cL5CLK/zuboWlmjWQywoULKqdHgu1LpedJKsNi77roSsSc/koU2mdbi/QxKwOnuXVmRQ/u7GO5QTndbYYp9K2aVkOJ3NRrq82ycUCEpvLxXBcf3QfTuVjgRFS6owqG2cygRFlOi4nc1H6g7ycKArENIla2+ZMIcaPzhfo2EFT/nhSZzZroAzU+y+MJcjH91/qvtszlyICC5Uu11eaJHWZk4PrH6qOTAwmGzxthGGv9yVlyKP35eQuExSO2mva/v7YfY98TOXmWnPL5170kv4nxQtNbi+jZMyj8Lgwnt33nnghH1YyeTjA0+oH4bl7pQ6rdYu35jI7fn+3XF5UlThdiHF5KrWv4w29v7gqUUioVNo9fnpjjatTaX5yocjf+xtcX20SEQTeO5uj7/r8u48WKMT1Hetlsyc5mdYxHZcbK03SUQVVDir6lmomZ8fiXNnW6Hu31OYfbpdoWg5Ns4+uRPjfv17l2ydSaHIwJHUqrZLUZApxjWqnx0bbpuf5fHC3guN6LFa7JDWJpWqH75zM8qDcDdREql2WhEAvciKl0Xd9oorEYtXkZzfWmUzqnBwYAt8/m+fzpQae5xNVJSKiwHdPZdFkkY2WzdhgtMwvbm5wYTxBTJO4Op0iE1WQJQEIIgKRSDAzzvcZeFsPKxt1RSKqSpwqRKl3HP7Xz1Z490yOy5NJlmommipxe73Fn14aw/XhXrnNX1yZIKnJgD+4jocCxY+qxpUjAvc2SaydHBSB3K90OJWLcWkiQWMg2Oz0PWYyBilN5uJ4glP5KFNHZOzu9r7s1rJwlF7T9vdno2VxrhjnzZkM9W7vpSnpf1K80OT2MkrGPAr7CeM97UKutm2q3d6omTtjKDtyW4/yzMptezAqpj9qelUlkXLb3vFMDqKCshfKLRvfC/QQf327zB/ma0REgVurLd4+meUfvT42aOyVSeky//HTJYZlANvXy9ASzsdV5rLRQd+aA4KALkfQB+FRJSJya63JfKVD0wqqD0vtHpocodLu4fk+jhuU95fbPS5NJDiVj1FMaOiKFLQK1LrENYmNZtDbJkVE+q6H4/mcLiZYa1rcWg2mGXzvTJ5/uF1iodohYyi8dTJDPq7y158v8+H94Hr/5GKRd0/n+CeXx3ljJmjSPluMk4splNs9zF5gbDS6DuW2TUKTAvUWXaY/GD1TjKs8KLe5s97GdtygqlOT6Ls+V6ZTLNeD6MBww8zHVHqOx48uFPDw+eeDwpeWHUhJCfjMl7uokaC6NW0omD2Pb9aDyQZD8ebNHojZC0i0a7uMJ3XiqsTXy002WkHJvdP32GjZ5GJBIY/V94ipEmcGGqDrDROjGOfieIKJlLankMGT4lFr/1k3Qm9/f3p9D1EU+MmFQqCX+ZKU9D8pXmhyexklYx6FwwjjPQr1bo975Q4PKh1KTXvUzC2KAqnBROTHecum4/LRfI3PB/O6hirymV1e8M35jMepoAyxeXM5kYuS0GTSUZlKu8fv71VRZBGz52I6Hp/MV8nFVKYzOvm4xq+/KVHrOiPVEdi6XnJxFUMRmUyqrDVNNDlCx+7TsgIFmNP5GFMpjVLb5nd3grEy3mC23MlclLQhUx0o7MuRIPSYiynkYirvnMqx3rSCTcj1OJGNst40R2FKCOauzaR1YmqEZtdhvWUjCALfOpFmNmtQatlcnkpxYTxOrdPjq5WgoMH1gjDiTNZgOq1zcTxotF5vWNzZaKHKQWPwf/x0idvrbU7nY/zZ62O8MZ3EcX2kiEhMjVBq9VhtBJWN6y2L67c2OFuMc2kiyY/PF2jZffqDa5pOG9xeb/HVSpNiQsOQIqMJ6OfGgu+0TIeoKvHpQo3Xp1J8Ml/jN7fLLNVMrs4kcT1/kOOLcrfUptLusVDtUu86iKJAz3UHSiLB5AR7oIlZiKvocoQP7le5vdbCUCNYPY/XppJ872wBJSKSicpHQmyPWvvPuhH6UbnwvXLurxJeaHJ72SRjHperepIw3kFykutNi7+/ubGFmIbN3ENyW6x1WW2ao2bloOfHHHlspVaPX95cRxSFwegZkY8fVHljJs3t9SadnrvlHIbhnf2EmLd/5m6pzbXZDCdyMX53p4IoCggEIcW4JrHWDKZuF+KB4v+pQlCur8q7q5pMpw3cWR/TcflmpcFkyuB7Z/Lc2WhTMwNvR5EizFc7fLpQw3E9en2P394pcSJncH48QXsg49S2+/zkQpG4JvP/+3SZayeCgaNNu08xoZIxFP4w7+G4Pu+czPHB/QrnizHimoQmRzCUCNV2j1qnx3rTYiKtU0xozGR1okqE2xuBdw0giQKGGuHGaotK2yYTVfl6pYEaEdGVCOvNJtmYyv/1vTm+GCjoX5tNk9AVHlSCkF9UlchFVXJxlV9/U+LGahPT8fjwXpU/e22MH54vcKYY20IYi7VAIm1zvnc6E0hazVfa9PoecU3iz14f56vlBj+9voYmRbg2myaqRnj/Xjkg9EyUa7MZfne3NJoXd3U6haFI/M1Xq/zpxTGm0wY91yOqRJjJGHy90uTzhRquDy07ULZZb5isNSz6nsfdEoeennhcpOh5NEK/bL1ph4kXmtxeJsmY/WzuB7nelhmU0v/9jXXulXcq1+/2QsxXOny2UBuR5/ZmbgDbcTlTCDyHxWoQdjw/+L9ba21KLYuoKrPetNDkIGSkKxKlloXredxaa+16DrttHNdXGiR0mYQmkdBlqu3els90e8HvvXMqizXrcq/URlciOK7HZ4t1LMel73rcKXW4OJHgwngg5bVXGDQbU+nYff7DJ0v8p0+XOVWI8d1TOb5zKoPn+bw2mcQF1hoW9a6D6biIAlh9kT/M1/mLK+NcGk9we6NNJqowltS4vtJkvtalYTr8szeneOvkw8pMURBYbZhMpDR+fCGP7Xj0PZ+O7dJ3g1DrWsNCV1xW62Yg3Ot4fLXcxPN9ikmN9YZFVJXo9T0MRSRjqPhe0Ldo971gfEomSjGukdAk3jqRYaVp0XVcvtpURq5KAm/PZVlv2fzsxjqqFIhwvz6VDNT0I+IOT2j7epzOaFyaSHK/HDyjtt2nYTpMpXXycZV3T+X4/YMqru+zWDNpW31mMh0cN1Cm+d6ZAjFVHnjjCl8u12mZfXx8JtIa90sd7pWD6Qh912M6Gwhqi4KA63ncKbVJR1XGkipL1e6hpyf2qxTyqpDNcS/me6HJ7WWSjNmvxNXjrrfStrm70aZh9ui5PvfLbbKGSkKXiakSqw1zzyGI9W4Qguv1fWQp8LwExFEzNwRq7L/6ZoXPNnl3757Oko4qLNWDfrGhTJTjesQ1mYgIMVWiY7s7rms4Z+v2epuoGiFrKPgILFQ6PKh0SRmB8sdqw6IyEHberCe50bJZqLQ5U4jxg3N5Pl+q8+G9Cj7wg3MFDEXi72+sU0xovD6ZemwYdKMV3D9REPhqucHN1SZni3H+T2/PkIkqwYgZVaLa6WH3PVzfJ6FJwcBL0+HbJzJMpXUWal1ub7SwHI+kJnO31OGj+1UmUzpxXaZlBqX51U6P6YzB6UKUcrvH//b5Cr+5U+Y7J7P80zcmWa1b1Lo9ZrIGk0mdv7uxzuXJJPQhH1NGc98mUzqTSR0EH1kU+Wyxzr1Sm0xU5YvFBufHE/z4QgFFEokqEpVNhoImi0wkdb5cbrBSN7lX6tCxXX5ysch35jJ0bJff3i2zVDcZS2oUExopQ9myHhumw3Ta4P07ZQRR5LPFGp/M1ygmNCZSGrPZKG/NZTlTjPHJfJ1ba00SelBW3+g6fLPRJBdTmM0YrDeDkU5d22U6HTTxv3+3wvt3K8Q1ibQRhBxjSgRDjlA3HW6utzEdl7gm8aDcZanWZaVmbhF5flrsFSk6qv6244zDLOY7qnv3QpMbvDyW0n7zh4/r9/rN7TIf3C+Tj2kkdZmLEylcz2O5ZmKoEU4X4iPJo81omgN5Kk1mqWbi93x02eN0PrZl8Gmj6/Cg3MYbvOGe57NQ6bCSD7yfqCoxnY5yZyNQiO+5LtPpKFFV4tag6XV4XS3T4Te3y6SjMufH4txab7HeDKSxzhTjo8IBu++hRIKRNBFRQJMlNloW1kA9PhVVKSY03juTIx0NNt3h8M8vluqIgjAK4e0VBrWdPnP52KDcPVD/KLXtwYiTMt+eyzKXjdF3fSZTOu+czvLb22W8ftCM/cZ0mqSucL8cCBs3ug5ty6XcCfrrTuRinMwZlNo2d8tt7my0gaB4pWE63N5os1zrcmO1RdPskzYU/ubLVUotm5P5GK7ncXu9xaXxYEqA6oi8dyY/yoHpcoSPH9SYyRg0LYdP5uvMZg02WkGbyJfLDcYSKpmYwtlCnMVad7TeCnGNWrfHxw9qXJpIoMkRVEnkwlic39+v8c16k9PFOC2rT90MDB3f80kP7uVwPX62WKNuBrqYw/zn3VJ7kP+z0eQISkTg3Ficr1eaXJ1OkdAk/vbrtYHmZuCF/uZOmam0TlSVePd0DrvvcbfU5uxYjDP5ODFFQpNEcnGNpWoX2/FomA5/dCZPTJX48H4VeyB7dpjYLXKyvb+tY/dp2UFLxffP5h+povMi47CK+Y6y4v2FJ7eXBYeRPxwuuLblkovCmUKM/+WTJW6sNnE9UGWRH50v8JdXJnZ8d74abMo/Ol/gkwc1WnafuCbxvTO5LWKyTcthKm0Q1wOF9+EMubYdqCOs1i2uzqSYzRp0en0mU4H+4krdGskVDa9rvWXR8zxShsJv71b47e0y4JPQZU7kovzofOBprDdtEjEJy/Ho9FxUOcLZYpy1hkVck5hOB9OxY5qM7Xg4fRcQKLdtpjMGBcdlIr1VkHbzy2n3XcqdHpVOlbShMJ7UaZjB9bftPtloMC/sfqVN13aJqhH+62tTvHMyR8PsMZ7QKCRUzF4fI66S0CRMx2W5btLo9vjwXoXvn81zbTbFr2+XqHcd7my0qXR6/NXViWDe3GqDQkJDVyL80dk8nZ7LT79eRxSDhuykHni+F8eTdJ0+TbPPa5NJTg6MimrbJq5JmE4QCjyRM3Bcj42mhRoRUaTAw1HlCG27z8l8jBurrUFIUmSh2+PmWpPvnc3x/bMFGl0bx/X54F6Fd05l+NaJDA0zmGQtiQJyRCS9oxTeJmnIzFe6iKJAf9DQ3bIcEppMrdsjrsokdYX/+/dOggBfLtdZrltERIGYKjGbM/g/vjWNHBHJx1WKcY0P71e4NpthPKlR6/S4XWoznTZ493SOluWwVDN593QOq+/y4f0Knufx9skshfjhkspukZPN/W1duz8qiJmvBMVCE0mdc2OPl/l60XBYxXxHWfEektsxwWHkD4cLzlADFYqG6XC/1MF2PBRJJCLA/VKHxrZJw/BwvtTZQpzJlE610yMTVZjO7CxqiarSjlEzM2mDvueP1DDGkhpvzQUyRT+/WeKjBxU0JbJF+/LGSoNTuWCT/fcfLRKJCLiujzMQSBYEAZ9AZeOD+1XurLUoJjXul9sjyziuBSHC+UpQJp+OyqQMlVvrLUoti2JC47WJJBPJrTO6hvfK7PVZb9mUWzZjCRVdifCTCwWUiMB8pYvn+5wfT2D1+rTtPgld5r98scZ3TgWz1CIi3C618Qj6wWbSBst1E6fvE1UiTKeTvHcmz0q9y71SB8f1gnyfGqHU8tlo2PT6Ht2eS1IL5nnF1EDTMh2VB0onKtV2D0USqXV7XJxIUG43+WShRtNyRmGcd0/nqHV7SGKXE1mDB5UuMU1GjggYSmAECIJAw+pzfiwxWm923xspqtxaa3FxPE42nuN+uc212RTXZjP85naZz5eC6RE3V5v85FJxVMq/eW1UOjaTKR05ItDteYBAXJNxPR9djlBqWaSjCjMZhQ/vV7i70RkVkOTiKq1un5bVx3JcdCVCTA2Mi5bV5zd3SlxfaVLrONiux//t3RP8yaUxYqrEUs2k1vW5PJUiG1PIGgrdnst6w6S4i9L+k2Kv/jbLcVlvBeN0pEgQ0i+1bHQ5smca4KDYb/juWYRID6uY7ygr3kNyOyY4jPzhcMElNZm4JnFno00+oTGdCSrNUrpMJqrQHITotn9383yptKFg972BEv5D7EXCpwoxBIJNu9zuUUyoJDSZ6ystinGV753J79C+HEvplFo2dzZaWH0XwRUCXcaeS6/vU+3YzGSjLFW7fL5QI6HLgQCvomL2XJqmQ6/vUmr1aFv90e8v1rp8sVhnpWmRUCX6ns90RqeQeCjbBFDr2Kw0rGDsSULl/ESSltWn1LY5WYjz1sksoiCAAKbdJ2HIJDWZS5MJPrxfHdwjl9lslPNjcQqDEOovb5X42Y11WlYf3/f59lyGN2fSlNs2GUOhZZkkNZliUiMSEUjpMq7nsVI3eW0yGcwY6/RYqXeRI0E7QsqQKSY0zhZjyKLAYqUbeIc1k7lclPc2zdYbetKdXp+21UcckEegbdniVCGQptqcLxtLaHgefLZY5Xf3yvzwXIEzhThRWaLW7fH+3QqRiIAqBRWYC5XOaNOutG1WGiYAnhtMz37vTI7f3imTjsZIajKZmIyhSPzubpnXppLEdYnvnMqSG3hX+ZhKRBD49b0yXyzWmcrowQRzTeEH5/IICPziRglNiSBFBJKGSssOxiE1rT7frLV4cyZNrdvjznqbX9VNbMflWycy/PHFInbfZb7SPZLNPqHJVDuBgdQevFtR1SdtKIMJ20+/Ue83fPeshC0Oq5jvKCveQ3I7Rnja/OGpXIyu7fLlcp24LhHXJa6vtigmVTQpgiJF9lw4e82Xmtxm9T6OhDfnFz5brPH5Uh0lIu6qfVmMa9wvtcnF1NF0bUFg1ON0MhdjcrDJTWcNkpo88hg9HxaqXc4W48xXu6hSBEkS+XShzq++2SAXU8n2ZSodh7/5apVT+RjjSZ3f3C6z1jR5YyZNMaHx4f0q2ZjCu6fzrNRMfn+vGrxsns93T+f4wbk8DcthuW6iREScfiB5lo4G9/B0Ibbl+j9brPGg0iYiCBhKMPX7D/M1Lo4neG0iyf1KBwh6FItxKLcs3j2dZbUZ4xc3N6h2bP7yyiRaSmc6HeWX32yQjar85EKRmBbkEKOKxJ++NsZGy+bGapO2HRDyUB1+OmPwrdk0YwNPTFeD0PFaw2IipY82IIGg0EcEdCUSDBwtxliodIlqEWazUURB4KMH1VHYMBcL2gWaZp+bK03yMZXf3imz2rCIqhHShkpEFPmTi2O8czJHuW3T9zxcz+eThRoXx5NElQi9vsfV6TSncjG+XG5Q6diUWvbIiElqMrWuw2eLDU4XYsR1iTPFQPMyH1eRRBHfh/vlLpW2zXdPZ+nYQVhytWHRMB0ioshac4VMNBhx8816m69Xmoe+2ScNmdlslGY3mOouCvDGdNDusFwzOVWIPvUx9hu+e1bCFodVzHeUFe8huR0BnnXl1ObjJTSZ753Js9GySeoynuezVDNHxLbXwtltsZ7IRnE9f1dB2/1czzDkYPe9XbUv47pMNhp4Oz84V+CzxRqSKKLLgXDzXD4QB740kRhoaT78bVEIzrllOqhSUJ2nKxFc1+e3dypcnkqRjynUux2iaoSm5dCwnNGLb/VcXptIIkVEsoNG6g/vlllpWIGHG1P4fKnGeEpDEODzpQZ910cU4NJkgrlslMm0Mcp5bb7muCqTMmTqXQc5IiIAruszkzVYa5qIAnTsPqWWzWwuiu/DpYkEoiAgRwQ22jbzlQ4XBiobaUPl+mqDL5eDTftBuctfXZ3gj87muTyVREDgl7dKWE5Qjfr1SpNLEwnePZ3jwniC9ZbFUs3k0mRi9Px2s/DPFmO8dzrHuWKclUYgelxMaFwYT/DFUp20oVBMaNS7PcrtHj88X2Cx1uUP81WyMTUYXtqtcmksyY8uFDiVj9L3PBYqJh8/qHJxPElCk6mbDpcmgnl2cV3mtckEpuPy1XKTc+NxZFFEVyRWGxau57Nc73KumEASReJa8H8xJYIqi8xkgqKZRjco5Oj0gjE3UUXC8fqICKMxO8WExkbLoj8Y53RY76Tn+VyZSnGmEOf1jTbKIAx8Y7XJ+bHEoWzU+w3fPUthi8Mo5jvKiveQ3A4Zz1rvcreqv0JC48p0ikY3KP7IRFV832cirT9y4WxfrE97LfsJOcwOGpt/cDbP5cnkrmN79rLuTmQN7m60SWgyqiRSGEhjaZLIUq1LQpOCsnVdZiZtsNGwRi9+qd1DEgUqbZvThRgLlQ6ldg/X88knNArxIPRpOS7nx+Ks1S10JcJbcxm6tssH96pcm/V3zTtF1YfDLbs9l5ga4dxYnGxM5a25LNmoys21FlNpHVmK8P/+m5vM5gx+dK6ArkQwey5yRGSt0SUT02jZDr++XRrlrtaaFr/4pkQxqZGLKTh9n4Vqh9xgunc2piIKAh/er4LvM5UxuDaT3jIgdTcL/5v1NuMpnavTaRqrTe6WWvRdj8vTKf744hifDnJ8vb7P2yeznCpE+fhBjaWaRUQU6TkemhThTqlNMaHScz3ul4K+tH/0+jgL1Q6m7TI5EACAoEp3vtplvWEhRUS+dzrPSt2i1LYx1AhSJ8jZKZLIXD7K54t1ErpEVFWZTBlcmkhS6zqsN01ycY1ya7CJC8GcQs/3SBsyTatHPq6QMmRqnR6/u1uhYTrkYyptu89iNQhZzjxmlNLmd2NoUEoRERFIaBJ/dCZH3XRYqnV593Se84Pn/rTYb/juRRS2OKqK95DcDhmHHRZ4nBe4/Xg10+GL5SYJLSjIWG9ajCU13phJMXcAzUYIBHRXm+boRdntWh51fvsJOWRjKq9PJllpmKQMhWsn0mSjypaG4b2sO10WsZygYXt4/RcmEvyLd07w0+vreL7PubEYr02mOFWIsdIwRy/+RsvibDGOLIncL7dJ6UHrwHhSC6ZxK1LQs/f/Z++/giU90/w+8Pd5k94fb+qUtwAKptHd6G50T/dohpwZzVASl1oxtLvkKhizsbsKXkmX0g0vFKHghYIK8UahiNVqaUUONTNkW0wbdMMWCijvjnfp/Zefzb1482Sdc+oUUAAK3WgQTwQigDzI/L788n3fx/2f/z9tocjiYJ1Mmby9UufNlTqzWZvOwKfrBo8dtLd09UBPcu+7NPoe2bjOTsvhhzfLXN9qAUO0szLVjkdr4I+Urk0GQcit7TaVrkc2ZtAdeKiKhKnKbLcGWJoiUIimcFymJjOZMnlrtcFWs89CLs7VjdYjQcn+CN/UZIoJE0OVERwvEDdVXj1VYr3R5/pmm/PTyXGWVEgYTKctWn2fYsKgmDTG97BV7ZG0dPxoyP/6xhr3y11OTyQ4NZHghYUsSkKi6wYCrh+KEQ9bU9hpuWw0eqRsnVOlBO2BT8bSWDgRI21p3Ct3eX4+w4Xp1IFATVdkpjMWlqYwmTb5nTNF/vcrm3TdgCHwjRMF7BGfp6kp/PJBhffXm8zlbNZr4l5PTyS4s9ul3HEJwoegqA+jgDscUO7d907LZT5nc7qUxA3DcS/y0x7eT1q++yIRW3xa+9K5PWX7tGWBPWfR6ntMpCyurjfZbg0emzkdvl7fDQmjoWCmyNi4QcRqrU/S0g44t8c5pcdJ6lS67iPf5aMyuyctOTxJ5HbU/yPEWpv89E6FN1fqqLJEpevy+xcmWczHCIfDR3pii/kY2y2HfNxEU2T+8NIUAy9kKMH3zk2w3exjaA+dUj5h8N56k68t5WkPfLbbwikmTHVcAvu4g/abjT53d7u0HYGAzMREz+/n96qs1XoUkyZbDYe5nBiHmM8Lx6opYqB+MRcjZWlkbA0kyMeNEWHzaGat53F1rcFszh7/Zofvc6kYZ+BHJEyFbMyg0fOo9z1kCd5eqRFEQ95crnFzq8NWS/Bs/kfPz/DKiQJhGFHv+3yw2QLg8lwWXZV4UOmxJvU5M5lg4Ifc2Grh+gIJemWtwWI+hqUr/Jv3tthuDpBk2Gw6fONEkecXhLJFq+8hyxJfOZZDlhlnVhFQSBrMZ+0Dgc976w3+/OoW56fTTA7hxWNZ8nGDQSCInzVZpusGlJIWN0aUXUlLI2WJ0YT3N9si+JtNo2syv7xfG6+Px1UqDgeUhqbS6oug4/xMkp/fq7LTdA6so09bufk4e+mLQmzxae1L5/aU7dOUBfY7i5mMTaXr8drtMjMZoaN11CF1+Hp7pZzCCLl31PWP7rckuDiTOiBR/1GSOk/KqvJpN9bjHPF6o89WS2Sm56dSbLcc3l1rcH4qxZlJkWnsL8Xl4gbfOFlgtz1gtdan3BlgqjJLxTi5uPjcw2rfjheQtXXuV7t03RBFkui5Ic2+x7npFNEQthoOKUvjfrk7Lm3tZ8Y4LMQ5mba4GEHb8ZnN2pybTDIEtlsOuYSBJIly7ZAh0XDIN04UYAjvrNZZKsaJ6QrH8gkmUxbr9R4vL+Xxgojlam+sOLAHytjPsj89ynaqXZdye8BMVmRfP79XJaYrnJ5M8sObu4QRTKQM/uy9bWKj0u5KrccPr5c5URTir6/dLvNnV7dIGCqzWZtLs2m+diLPpdkUuqrwz95ZJ21rnCwlmEiaQjw1GrJa63NlvclU2hIjEG7ID2/uMJ0RCgRuICjInps/yCyyR/922Kodlwgh4QOgKxLHS3FqXZft1oDJlMkzsylsQ8UJwjEwyVAV+q7QvRv4ISlb49Z2hw82mqRHYKHHVV2OCmANTcULBWNPs++P+Us/SeXmcev9SffSF4XY4tPal87tI+zjgkM+TVlgv7MwVHlEz+STsPwDKMH9WeDh6+2VcrIxnVs7nSOvf5RTcvyQu+Xux5LU+XU0rx+XHb56qji+fsLUOFmKM5k2CSNBHbaYt7EN7ZHPC6Mht7Y748/bbDjstAcHsk142Au6s9MhaWpcnE5zc6fDTlv07ZYKAuLu+gFIElfWmmJ4+VCkftT9TyRNTpQSrNZ6xAyVZ2czXNtqUUgY45m3zsDFDyJ2JwZcnEnx0mKW05Mii94jVt5oiOCjlDTJxw3mcjZRJEqKrb7HEInVWm/Msh9GQ35xr0ra1ogi+OntCrd2OqzVezw3l8HQFFZrPUpJk62mM2LbD1EVeTw/lrJ0mn2f7sAnH9cJwiFNx+P2TpsTxQQpS2O75ZIyNV45XhAjCW7ARMpkMm3R6PtIiPUdRkPKHRddFbp/hYSB6wcfqz+UTxhMJk0mkyaaInFuOsVP75S5ud0haQmO04Ef8a1ThUeASXFTRZFBkWVubbe5sdPhxnZn/NvuBZSH13PS1Ch3HLqDENsQ6uQxQyUf12n0vE9dufn3SaPys7QvnduH2CdZaJ+mLLDfWbhBRCFhIMsSfS8c/z+Hs7Cjrre/lHPU9Y9ySrois9l0PpakzqdtXj9J4PC47PDs1ODA9S1dJRwOafY9FCRu7XTJxjSKCeOAk3uSbHP/794bweyfnU3z/EKWP3l2mvuVLoWEScwQagmmKrNS7R35eYev13MD/upOBUbaZK8tl4kbKidLce7udui5IXfLHVaqPWRJ4qVjOd5ZbbBUEPI+Wk5GlSVkWWIiJZzanmLD/vtvOz7vrNbpuA/n3Gxd4c+ubvG3X5qn5wXc3u3QcnzipsrFmbQYxs/GkGWI6SrRcMgQ8MOIY/kkpycTeEHEB5stWoOAM5MiW16r9ek4AdWuGDWQJPjmyQI/uV3h6kYTU5PJ2QbDIRwrxCgmTUHjNYS5nE2z55GPG2w1HU59THThQi7G108UuF/p0nQE80spaaEqMp2B2DfL1R6LhdijgaCtMZ+NEUYR6/UBhbgY4u+MkLV7PdOkoXKv3GGz0WcqbTNkSDZmsFprUukMycZ0Xj1dZDZjH+jrfpI9cb/c5VfL1QOO84usUflZ2pfO7UPsk4JDPmlZYP9hvQd4eHYuTb0n+l2PywIfd73HlXKOckpeGDGdtg5Eto4nBoHzcYNCwiCmKwf6HbMZm5OlBI4vhDC9MEIZCXu+dmuXXOLRHsmePWng8LjscLPpcH4qNT6sWo7PnZ2OgHt3Pf7n11d48ViOP7o0Rdr2mUg9eba51XIIhkPBwh9EWLUet3c7nJ1K8Tcuz7DTGtAaPMwwrm20xyXgw593+HqtgU+t51HtuKRtnZSt8fO7Ff7O14+xkI+xcqvCZsNBlWVeOVkA4Ec3dzG0KbabDjtt90ODrFrXpdp1mcvZmJrMqYkkcUMoZ7+1XKftBDhBSL3n4YdDTk0kmBmxy7QdQZNVSOjEDY3nF7L87G6VrK1xYSbF3d0ud3e76KrM9VGvaj5nE4QRMhKFhMl81iZlabQcn5ih8NJiFj8c4gUhH2w0KSZN/tqFSf4/b6xS7bqcLiX5/QuTnCrFKSUNTn5MdGEYDXlQ6fLeeoPhUOLd1caIpDnL7Z0ObiAYYXbb7gHi7L1AMIyG/OxuhUp3wKmJPK+eKvLBZmukNgBTaQtZlvjhjV0KCZNKt8mdnTbPz2dZzMWodAUX6oXph+jevTW5n2fS0hTqXfcAEnN/cFdKmUylLG7ttFmu9BkCUgfStsZc1v7CalR+lvalc/sQ+3WLoe6PLAd+xE5rwKunikTRkLYbPFYF4OPO1B1VOrU0hRPFOG3HH2/MjYbDYkHMuv3rK5tMpa0DB2oubnBxJiVIf5uOKA+lLe6Xu9T7PtEQNuoO0XA47vfsvffDJG5KSQFlHw4hGg4pdxwSxsMBblliDMHfO6xujgaKDU3htdtl7pS7LFd7nCoJMuSWE4xLbF4g5sF6bkDT8YTS9EyKtuORtMSBN4yGYyXxi7Npal0PWZKYzcaYzT4cyv1gs0ltFHzs2f5IfX8g4Y2cSnuULfW9gPW6w7WtFn/87AyX5zMYqsJM1hLoRU3m53cr6KoYBrY0efysjgqy9gcMmiKjq8LhzGRsrqw1aDgeaUtjclTGrHc9jhVjvH6vxlsrdeZyMXw/5HgpzqunirxyIs/luQzTaQvHD/n5vQqtvs/vX5zi5EScK2tNMjGdmbRFwtKp9zzWFYnFQpzrW23W6w6WLo+UIWTag4Bm3+PlpRyWrnBts8V0xmIiIcRI91QmPswOi9XWux5brQHFhKgwDBlybbPFiaJQPt8jJNj7PQ4Hgh9sNpGQmEhatPoBLy5mOVESwKvjxfiYkNrxo3Gr4P2NNl445MJ0egza2m4NODWRHK/JiaTJrZGQasbWeXulQcJUH1uubg8CHFfwpu6VkIdAs++Tifmfayj/59W+dG4fYr/umZGjSowfNnfzSevziiyY2U1NHDhzGXsMqjA1hbmczb1yl5MTCTK2znZzgONHR5bv9gNQ7oxkTJ5fyGDrKm+s1MdUSlMp68C9HQ4cHE+QzmbjHXIxnb+8tk2lPeC7Z0tkYwbLld6YKX5/9rp3WLWdgA82t7m22eJepUsUQSRLbDYHxA1BgGxrKglTZTJtcW2jSbkjIPlfWcygKTK/vFfj1GSCNx/U+fMPtpAlCUtX+d7ZEs/OpWk5Pj+8sXMgiNj7Xo/rse4FEnd3O9i6wrMzaS7PZTAUmZ/fq6LIEglDpdJxKaUMkpaKpog5vWtbLQZeNAJpyKzV+zheSCamM52xSJoHe4p7AYOhCmi/xJCVag8JIVV0upTgWCFOueNR7gy4NJem7wVsNgVptirDTCFGzw0YBBEnSgnyo7GM/+8bqyxXBdfmz+9WeHkpz2I+TtrSBNdlx+WdtQaTqRIfbLboDAKub7VQFZlSUjwvU5PRFIlmz+O5uQwJQ+XGdps3a3U0ReLURJKpD+GBfASCH0SPyCClTI2W6bPbHpCyNVaqXZ6bz1I4Yj/Uuy76SNB1udrF8QK6rs/FmTQXplMkLI3Xbu3SHgj19nxckGJfWW9S63ljYgJZ4gALyf5xD9ePxhnkXkZ9VLlaV+Rx3/WZ2fRYUkqWJRbz8X8vofyf1n7rndtnyQbym5gZ+Tglzb0N0ncfIuJ22g4TSfOxn7F3QGy3HAoJE0tTCKIhe/Hy3vVl4G65N96Y8GjWeniD1ns+d8s9XpjP0PWCsfBp33tUx+1w4NAa+LQHAdNpi0bP48pag+EQbuy0eW4uw2JeHB6Hof17Fg2H3NppU+2KTAzAUmTmMhYpS2Ot3qfldJnL2rx8LMfiSOiy74U0+h7L1S5zWTEmcL/SwdAU2o5PwlAxVIXX79foDHw0RXkkiDiqx6rIEu+tNwjCiOcXMsxkbe7udnD9kELCxA8jSgmDWtfne+cmaDo+MUMmM+qfvbvWQJEljhfjPL+QBeCDzTaXZlNcmk3TGwT86kGNe+UO8zkB+Bl4Ifm4MWbPL3dcSkmTiZRJLqYTREOurDW4sSUU0WUJum7IZNpiOmOT2EeILcsSx/aNjhwrxEhZKtWux7WtNvfKXc5OJvkvvrlEIWGMGXEGfsRPbu5yciLJKycKvLFcY7ftko+J53R6IokfRdi6wrnpFKamsDYauJ/PxT40czu83gZ+hG2odNyHgKu9PvFSMY4fRrxyokA2pnO33MXUlEf6ql03YKkgEKCOG3JqIsFSMT5G2U6mLaIh1HseVzeaLOZj/CfPz3Bju0UYPf5MWKn2uLvbPbRGH1+udoOIpKlxc7vN5Xmh2n5UyfNLe3L7rXZunzWy6PM+M1LtiKh1o+EQjEo6ta7PnXKXM5PJAzD4Pdt/QOyPPG1DOZAhRsBGo/+hWevhDbrHdL/X04mGgr/Q1oVKwf7NfThwGHghz8ymmUiZXF1rjq97v9JDVxRKSZMTpTgXZ9JHPoulQoxvnSrxb65uUumCLkv8yeVZjhXj/Osrm9wrd2n0fUxN5j//6gKlpMnr92u8tdKg7fjYhsLvnpvgubk0kymLmUwM1w+JmQrhMOL6ZoulYmL8PfY76v0cjXFTBYZsNAY8qPSwNYWYrvKLuxV+cb9GTFfI2GLm8HfPT2Bqomz1zkoDPwRNgf/gwgQXplM0HZ/5rM2xQow3luvEDYUTxQTvrTX42d0qPTfA0ARryqunigJtGET8arnO1VHkr8oS3zs3wV+/OMlWS/TsMjGDTAw0RSFtC4DKHrvJ/t+57Xg8qPaodlwMVeFPv3WC/+3NVd5bb+IMh2TjOoos8W+vbZOLG3z7dJHVWg8vFJRZLy1mOVmKs9txBbfmdJKTpYd94HrXJYiEWkBnEPKTW+VHSt+H1/v+9bbXl17Mx3FGAZQsCSTrdMai0hngBUNu7XTwQyFOe1RZvOUIsvBsXCcb1w9cO2GoPKgKhXovHHJltcFXlnL8zhnB7Zm2tSPPhMPBm6kJftWlQuzIv5c7A06VEvQ8i7u7HQoJk7msTcbWj8w6v7SPtt9q5/brIAn9PM+M5BMGYSTkbHxXaHwlDJVSwqDpeEc6tyftIz5J1np4g6ZMoTpgaQrZmI4qSyRMldSofHa497E/cHh2Lk0UDWn0fJKWhiKLuShBPhyx0eg/loC2NhIV/e7ZIqcnEqxUBax8qRCn0nF5e6VO2tZp9D0ytk5r1A/8/vVdTE1mJiN6SpW2i64qzGZtbu90mEpbPDuXpusGOH5IEA5p9LxH5sbeWanzkztl0pbOuakkwyH0/RBNFgKra/Uev3pQGzP439jusFrrC9aSIXx/eZfn5tM0+z7/4t11Xj5WIBMTA9ofbLUIoohzU0lOlRJUui43ttojQEiEFw55e6XOfNbmpcUs0XDItY0mfS8gioaUkibbzT7rjT5RNHzEOVyaTdNzQ27ttOgOQuKm4PUsxA1+frfK3XJ33C8sJEz+3reWuLrW5NhI2FUeDc4XkyYnSwlcPwIJbu90qXU9TpQS5GydfFysh/221ujz5kr9wD192P49vN72+tLfPFnA8UO2WwOSpkbcUOgOfFKWThRJlDuDR9b4YWTyXqBnaELQd882Gg53dtq4YYShKqQtjXJ7gBcKPtTH2f79I8rXJm4QcWNLEF0X4saB/eUFEbIs8TtnilS67oFg+osodvrrsN9q5/brBnx8Xmy/xMhEyqLa9dhuDWgPfL66lAeg6fjMHvHeJ+0jPknWetgBxgyVV08XmUxZZGMhv39xkq1GH3VUyptKW2MkZTqmHxh2bjsev7hXZa3e53hRoESXKz1SpvaR5eD1Rp/7lR6WKqOpEt89WxqLZG41HWazMe5XuvhhRN8LCEfIwFJKcFHutAb0vIDvnCnxV7fL3C13qXRcHlQEsObZuTQ52yBuKLzZdVmtCjFOgLeW6/S8gJ4bcn7K5qd3q4IkeCpFEEQosoTjC67IY4UYfhixXu9zbirFze02XhjxV7crxA2FMBqStg02mg53y52x8KWlKRQSBilL516lS9cN8MIIbQSOqfeGbDYden7IbmuApatkYwaqIqHIEpIksd0aMJexWal2MXUBMTc1HVWSWCrGiBlCf6yQMDg9kaTR87hT7j7sCakK1e6AU0PBE7lS7fH+RgvbUHjleIHZrI3jhciyRClpcme3y257QLnr8o0TBbQR/dV+26+ptxcw2IbCVsM5MAT/uPUmS4geatLECyOGQ6h0BnQGHsYIhLNYiPPcbJquG3Ks8DA42tsHuvqQeswLI0rJh+u74/jc2mmzVncEepGAIBQl1Y86Y/b2zx4g67315pi15F65y6XZNJfnM0fur+kv+2tPxX6rndtvI0nop7X9pdhcTED0X1jMcWk2zRAwVYWf3CrzvfMTR77/4/QRPypr/TAH2Ox7aIrMalwf99JiusrbKw3KnUfh7ElL58XFHJNpi4Ef8YeXpmj1/ceiRPdbtSMYN06WEryz2uCfvr3BfDbG8/MZ5rI2N7fbTKZN0rZG2tbxw5ALkxn+6NIUO22XH9/c5atLefwg4uZ2G9tQWcjHWK31+Tfvb5GydXFougHHcjFubLc5XhSiov/u2g6nJ5O8tJij6wb86n4Nxw/pDnwSlsYv7lV59XQRS1NHZVuXYwWBwtNVmUrHZS5r0x4ExA2hnaargvl+LmuTifmjMpvNaq1H3FCxNBVdEWAgxws5VrA5XoyjShJxS+PObptszOBkKU7fC+m5AYokgESnJ5O8v96iOwhYzMeo9Txu7bSYy8bHyL+tZp/2IHjE8ViaQq0nsuR/eWWDMBRH/qXZNBdnUqw1+tze6fDcbJrptMVm06GUMHluPk3S1Liz28VQH/a98qOh7T0nHhtxex7Lx9ltOWy3B4/00l89VeTs1IDNpmCFmcvY+NGQv7y2I+b6BiEd1+fFhRwvHsviuAGWoaKGImtqOULcdSEXoznrE0VDgfJs9FnIxcjaD8+O3c4A21A/MXpxb/+8t954hLXk6nqTXFw/0ol/aU/Hfqud27+PJKH7S7Ed16frClj5pZk0Dyo9/u31HaGCfIQgKXyyPmJ9n1bYYdDO4zgfD4NWOoMAP4hoOUIFfH8JWVMkVut9onBIKWWSMjVs49Gl+Tjw0J7Q6nZzwOX5DMfyMapdl7ipciwf4+JMGudBjaSpMZUymUhZtByPjhuSNDX+5PIMwJjJwwtC/HBIo+cCEjutAbMZi3fX6mTjBv+vb59gveFwfastypmdAfM5Afp45WSBzsBHV2QUWRoxisi8vJTj5naLlKVhqjInJhLYunBSc1lB83VqIkHS0ugOfFRZpuPKnJ9OcXk+M0bgaYrMV4/ncLyASqfFs3Mp/uPLs0iSxNurDRZyMf7kuVn+4oMtOoOAUsJgJisAJ9sth3NTSeZzNm3HF2um2gPkA5JEc1mbpKkRhN2x4/HCCEtTUGSZtboYWO95IWlbo9oVjr/aEVI976zWsQ0VVZa5udNGkoa8sJDj1nb7QN9rNmMzmbZ5d61JKWXw3FyWpKVRdzx+dq9CreuO+Rmn0hYXZ1JsNx3SMZ3zUw9BFu+tN7ix3WKjMWC11hNIzY0W02mhjvFvr+2w3XKYSgsU8F5QdbIU5/s3drmy1sDUFFp9UerdA5703IBTpQR/9MwUP7pZpuX4T4Re3L9Ol4pxNhvOkRUmMXv32I/5yHX/pX24/VY7t18H4OPzsLD27kEG7pW79N2AuZwg091uOSxXe5iqwkTa5MJMkoEXMpV5PKT6ozKyw/pwsixxe6dzZMZ1+D1RNKQ9CLix3cLU1PGhuVLt8sqJwnj2CBjzMqqyRKXtUu95vP6gxsJI8mZ/eebDwENz+4Kc9sBnImVyeT4zchY63z6tMJ+1qfZcigmTN5dr3NntEDM02o7HTMbme+cmqHYH3N3t0HSEVM1Gw0GWJVKWSt8P8MIhG/U+SVOAIjKWxleXcpyeTMIQUZaTJM5OJpnJ2NzaadN2AmK6ytdP5JnP2TQdj5SlY+sKOy2HMxOTbLYcVqs9Bl7IsXyMrdaAbEwAFVKWRnzUs0yZGvWux9mpJNMZUY5eKsS4ut7i2maTet9nKmnyrdNFFnMnKHcHnJ5IkI3pvL/RYrvpYOkKlq5STBikYzolL+TeqK+2Z9XugPPTovdzZb3F3p8uL4g5vCtrTaodj2rXpeV4eEFEuS0YYzquz2ZzQKPn0fMCFFniRFFwPU6nBT3Y/nV4fjqJJot/v7bVotH1KLcH/KsrmyzmY8xlxRr4ya0yQhRdekTloNpx6XsROy0HP4yIhkMxx+iF7LQG3NhqIckSU+mDQVXcUGn2fRZyD1Ghy9UepyZEz63R93lQ6TKTsfm7X19kpS5YYz4MvXjU/JqlKbh+MM7c4JPxzX5Jx/Xx7LfaucFnC/j4PCysw2TKAI2ex/PzGd5ebfD2Sp1Gz2Oz4XBhOsXF6TRuEH7i7PXwd95PntxyBHny4+iqbm63mMna7LQG3N7pcqwQG0uxJC0NJwg5UUhQ7gi+P1kSr/e9kLdWG/sQftUxwu/Dhr737uOZ2cyRQc4eM8r+NfLzuxXeWqmTMLVRaVdnpdbnflnc7/FinNduV0iYYmt862SBpKXx41u7VLsep0oJfna3wqmJJNm4TmcQYGoK76w2uLXdZrUmxDu/spTj4nRKyMhIoEpQSJpkYzopU2UIdAYBv1quEUVDJlImP75d5lg+xrNzGe6Xe9zZ6XB6IslSMY4iS7y90uDmdotoCBNJg68dL9BwPO6XO2P16SCM+MH1Hb53foLn5jJoskRvEKLKEpoq86DapxDX6Y4O3WOF2CPVj8mURS4mJFz8sxGNvkcxIdhI6j1vzK/p+KLH1hkE+OGQ40WbxXyc1ZqDpkoogcTLx/LYukq97zGbtWkPDs4KWprCbDaGqkh0BwExQ2WnNUCSRCadskUWXOt5VDpC6eKosZIwjDA0Zdzf1BWJuazFVsvB8aOxcvre2ql2PWR4lIZOlcXA+mg9r9T6vHarwkvHsnxlKUcYDj8UvXh4ne62BQpyMm3T7Hufim/28Lr/0rl9uP3WO7fP0j4PC2v/PexBn19YzFLuury31kCRJCHNEje4V+lybjrF147nj6S8+rjXA+gOQlZrTRZHs1Rr9f6R8243tlus1voEERQSBis1oYCtqzJRNMT1Q1KmhheGnCwl2GkNSJgqEymT99db45k4gCAa8u5anUuzDyPkjwIPPWmQ03J8MrbIMFarPZo9j6ViXFCIqTIvHsuNJFMivn2mhCzBBxviu33jZJHptEU+YfDL+zW6g4BLsymubbT4+d0KEymL48U47YHPg3KPy3MZ/vDSFI4f8fZak416n5mszVIhxvvrTd7fbHF1vYkfDfnaUp5LM2mCMOLnd6u8v9kkiuDmTpuXj+U5NSHUsfei/3LX443lGrois1ztcWe3Q3sQoI1m4y7PZyjEDXbbA5K2xpX1Jn9+dQtvNAP46ukiJ0sJBn50JDfpRsNht+0Irk5JYrnW4+5uh2fn03z9RIGf3qkAAuJ+aTZN3FTJxQ2+fjxPTFdpDzzmc3HiusJqvT9iSWlS7QwwNBXXD5jNxXhxIYsXhlzb7JKPGxwrxKl2Xa6sN/FCQSI91MDxhTPebjs4nhja3j9W8sJijnLHRVMkvCDi5aU88VFpOxfXDgy872VNtqE+0rMXSuNCsd3QRN+zNfC5U+5wbjrFc3PpD91bh9fpwI/Yag64NJsSf/8UfLN79lmB5j4PVaqnaV86tw+xzwMac/89DPyI7dFGubrRIp8wsEfIN0tXyWEQRMNP7NgOXw8ezq7t6cPB0fNuTcen0ffxQ6Ei8NJiju2mQ88VoIdSysRUZV67XWYiZfHNkwUKcYNwOKTadQ8cMBJgagcRaU8LPDSdsZhOm6w3hiRNjXA4pNJxmUpb+OGQVt+j5fhkYzrFhInjB/TSFn+rOMfEqAw88CN+db/GTNZCkSV22gMqHZe4qY0kcQJihkLLEUPfVzea3NxuMxzCarWHH0ZcWW/S80KBIPQjXrtTZiEfI2aq/PkH26Rtnb4X0nWFZtyeoOgYsq4qxAwVQ1PGA9RxQ0jGuEFEPmEKcuCY6NX96n6NaAiaIuba3l6p8ztnijh+QC5+kM/xg80mV9YbXJhJ885qk391ZRMvjJhKWRwrxvnO6SJZW2ez6TCXtSkmDNFXdbwR4beg5Kr2XG5vt3l+MYvrh+MemuOJ2cyd9gBNlqn1XK5vt7ix1eHV0wW+d3aCc1NJ3l5poCsyDIecnUyhKTI/u1tFUyQWcvaBsZLfOVMkHxdKGGlLw9IVbmy3BbBkIceDapeVahfbEKMOsxkbiYc8kLoq5tAuTqe4W+6M94ClPxxsf5K9ddQ6rfVcFFniwnT6Y63Vx33eZwGa+zxUqZ62fencPsR+nQvrcRHT4XuodF1Waj0Wcja1Q07hadzb42bX9gaEHzfvNhgpF3TdgKsbTS7OpPn68RwdNxixfMiUOx4JU6fVFyWmgSe49E6UEoLU1w1GVFEaGUs78F2eBnio3nWxNIWEpSE1+sznbYGey8aodlwqXZfjhTj3Kj2urDXQNYXzU0kuzqR4f6M5YuePU+s6WIZMPi601wpxnQiodFxcP+T6VhtVht87P4njB1Q6AqgwmbI4Xohzt9Kl5QSkLE2ULGUJXRGimnFDIWlpDIfD8QB8NIRmP8APQ+7udjA0mbSt4YcGkymLb58u8e5aHT8c0vdCvraUHwUlDsWkNV5X260BYSQ4EqczMUFurD96BNS7LscLCYbRkMvzGYpJg426w3zOJjOSkSkmdMF1KUm4gWBGWW84tAfieb52q8wby3VsXWE6YzHwhYiuG4TsdlyafQ9DU7i92yZt6ViaSiGh84Mbuyzm4ry4kOWZ2TSqLJG0NBjCj0eabXNZm68s5TmWfwjtn87YREPB0L/bHhAEQxJJi5s7LS7OpikmTe5XusykLY6XEmw3HbquAPEcy8cIhkOafZ9qz8XS1U/cI3vcOv0wWrFP8nlPGzT3eahSPW370rl9iP06FtZHRUxH3YMqyyzmY9R73vh11w+YTIv7+mCzyVTK+tCm9+Oc6eNm1y5Mp9huDR6Rvdl7z3PzWb5/fYcgGrJc7ZG2NF45UWAyZXJ7t8s7q3Xyo/es1fskTI2ZjM1ms88zsxm+dbrA26sNoUxtaZydSh14zkfBwI9SDz9KVXy/qrkfCrb/uK4KBpCczW57wJ9d3WQ6LZzPs7NpjhfibDT6eEGEqSsEITT7Hn4UkU/oFOImlq6wUu3x1aU8z89nWKn06IQRpibzjZMFJlIm37+xy5+/vy2EUTWF3zs/yVeO5XhzuU7MUEiYQhE6YWpMpkwKCYP4iGtS9Oc0PD+gkDDYaTvcr3THz+O7Z0rk4jpfXcqxkLPpuD4zGRtbV+gNArpuSNB0CIdD5rM2MV2l1nWxdIW0rY+vd9gmUhbL1R7XNntEwyFTaYsgGtIZBNwvV3lpKcczs2nuV3oHSmzrjT7SEG7vtLlb7jCZMum6AZWuRyk5Gg9RFaodwUziDXxyMX0cJEykTO6VOzQcl6lMirSl4wXhODP9zukimiqCgGrX5UG1x2xmOF6L98tdaj1faMXJYp5wu+Uw8CLhxAoxCnGTH9wQ6MliwiJtqbywmOPebofNhoOuypwqJUjZIgjbr6b9JPv+w9bpk+7Bw5/3ONDc0ywjfh6qVE/bfuuc26+zLvzrQGN+VMT0YfewR3K81XBAkjBVmWsbbWo990MlUT7MmX7Y9R4nobNXFiomDDGLZarIksxWs89iPs5rd8p0nABNlcfzWfm4MSK+9Xhrtca3TooeUL3nUUqZB57z4d98Pwy87wbcL3e5sd0iYeq4QYTnR7h+yFsjUufDquYtx0eVIWmp5OI6nYHPC4s5TFXmX76zQTAcCiXvnM2DSo+bWy2emU3x7HyarYbD8aLgpXztdhlLV9ltO7x6qkhvMeTqeoPEuQnmsjaVrsv1zRaqImFqYkj7Rzd3OTeV5A8vTfLOaoOsrWOpChdmU1yYTmGoYm7sxlYLQ1MIoojJTAxTk8nYGn/zhVkqI9qnbMzgjQc1Xr9fJWZo5OI6SUtjImViawpOoNMbBNi6ykbDwQ1CklYMN4h4djbNuanUI2W2Wtfl6nqTN5frNB2f9zeafOVYjhcXc1yrN+l5AdMpi8V8nMV93JN773P9aPS+Frm4zmzWpjvwOT2RYD4XY6XWw9YVmk7EN08VOTuZYqXWozvK8L92PE8hbrDdHPDeWoNTE0lev1/lRDHBhZFS/AcbLdIxbcz4srd20zGdqxutA9WMtiPm5zabAwA6Tpdf3q+RTxgUE5C0dG7ttHlntU4xYY17ZKdKCWRZIoiGT7zvP2ydfpw9eNT++rj7+OPaF3Fm+LfKuf0m6sKfNf3Wk0RMj7uHvddTlsa7a01Wqr0xyfHjSgpPUn74JN95OmNjqCKjXBlB8nMxkyEIPsT1Jn0vRDHgmdk0mZjO1fUGu22X9sCn3B4wl4uRtnVyMW1MOdR2PO5XuiOAw4DrW22m0hbnppLcLXdRZYljeSFYuVLts9nsk7I07ld7B1TNl2s91up9JEmg+6LhkPbAF/pzowzs9m6H+az9UPB1EOAFEfUg4lRJlAtbjk93EHJmIjkGbCwWEmTjOrtbbWazAlHYcnwafY+YoZIwVKJoSDgcCuXqvs93z5VG7P8OUymT+XyMtKWhqhJfXcoxnbbYaIhSYMJUubXd5taIEszUFIZDuLnd5v2NJglTw/FDlis9OgOfpXycdEpne7vNZtMhben87rkSGw2Het8ja+scK8QIwoi7u4J30dIVigmRfYlRBB1TU3CKCe5Xury4mOX0RIKYoQnasEO23uizVhfPPm1r6JoIZFRZpuX43Ct3+OrxPMcKcRp9T0gsleL89E6V/+X1ZTIxHT8Y8srJPAu5GH9xbZulQpyZjMXZqRRxQ2Wt1ufndyskLU0800Nr96gqx3Pz2bEq/VzWZr3eZzh8yHe6J2PTdUP2WLcqXbEmv3Isx3PzTzZk/aRnU9vx+GCzxY9v7Y6ZYixd/dglwKddRvwizgz/Vjm3L2Jd+GlETPfLXdZq/QOvPa6k8FmVH2pdlzeX6yQsjZSt8e5ag191a5ydSorB6hH10UTSxAtEdFzpekxnTKbTQm/tL6/tkLV1Ls2mqfd8gmjIesPh9k6biRF34XK1yw9v7NJ1AzYbDh3Ho5Sa4+27Fd5daYAkjRwJYymUtuMT1xWafR9TE/N0iiyRi+mkLI1az+NuucNUyiIb05jO2OTiOgM/Ymmk6TWVsnhjuTZmejdUmbQlZgCbPQ9pCFfWm6zV+kKaR1eZSlls1PtMpi2KSZOeG2DrykgnTObURILZrCgjZm2d7IjN4sooYzlRTGCoEverXVbrPZDg+lYbQ5U5O5WiPfCp98RgcS6mU0yoJEyNatel5wf8L6+vcG46iSxJ3N4JSdsqM2mhktB1fP7ygx0uzqSIhoLF/oWFLBsNcfjvASlsXaE18AGhCu6PpFuAA3tus+Gw2XC4u9Phj56d4XtnJriy1mCr6ZAwVLSijKnK9D2fmbTNZNpkrd7j1naL5xeEoGlMV+i7AY2ex994doYgGuKHQ75zuogXRrx+v8Zszh47hMNr96iqQyFucLcsqNfcIKKQNMblXmD8WrxxkBrMDyNk+cnX/5MqvN+vdLm53Wan7Y77y3NZ+wD680nsae/jzztJ/Cex3yrn9kWsCz+NiOnjOMikqVHuOAdk7GOG+qnLD+uNPnfKXQxV5mQpgarI7LZdNLVLEA7HGllDhvziXpVaz8VQZY7l41zfbrNR67Na7zOftdltDfjm6QJvLdd5/V6NzZZDNqbzwkKWM5MJWo7HZnPvtQzXNlr80zfX0VSZMBoykxG9sz0plLuVDscLCb6ylKPSFsjOWs/la8fzzGZtsjGd//d3TtDzQqJoiBcMee12eYxw+9rxHAlLO/Cc3SDi6maTW9tt/vjZGXRV5ndOl6h0Xdwg5HghzkTKxA0E2rEzCFBliaWCkGJ5e6XOS4s5EofKgq4fcmoiSXcQsDo6HE8UE1iaypvLdfpuSClpcGYyTsLUWG84LFe6tAa+UCaQwDZUtpsO+bjOQi7Gta02by6L4XhLlzkzmeJUKcFsxuYHN3YFkTRQ7bqcm04dAFNYuoqqSEylTapdjw82Wvhh9EhWEjPUEWXXEFWRWMjbBFFEFEE+oTM9UrSWkKn2XBKWym7bFUPypsiIhzAW6zxRSuCFERlbG5dOW45/QCn+qHV+VNXB1BTStrjGRNJkOIStpjM6OwZcns8eeG1vDxbiBh9sNtltDT6yBfIkZ9N6o896w6EQN1BGlF57s3wfdw9+FmXEzzNJ/Cex3yrn9kWsCz+NiOlJHWS9Kw6TbMxgtdak0hHosldPFz91+WFvc++NK+zRYHlhxNmpJLMZe6xSsMch2XcDGn2f9VqPjeYAQ5PpegEPql2W6vExMtALBOHxe+tNigmDxXycQlwALyQJbu906PshCUWQGb+31uDSbHoshVLteAy8Ft8+VcKPIt7faBIzVJYKcbabDoyeV9+LeONBla3WAF2RmUqLUuu7a02CMKSYtEjbOvfLHWKGigT8n16Y4+Jsmru7HTaaDrMZm7lsipQtADNpW+f6VovrI6XwTExnve4gy7DVGuCMJGX2Ds+JlMm/u7bL/UqXpWKct1cavLva4NJshu+dm+CbJ0MkSRyaa/U+l+czvDif4b2N5pgvMm1r3NgSumBeGPHWcg1r1POTJZmf3amSi+lYusIv79eYzdokLY37lR5nppKPDBzPjJhSNhsOknR0VpK2NZ6ZTdPoeazV+vyLd9Z5aSnHiUKcndaAv7y2w9/52iIvLGa4X+lR73kUEkJnDknC1lU0RZSYjxfj7Hb280oOH1t2fJJA8PChnR+BX/b220JODLLvf20iaXJ3t8u7o/nLj2qBlFIm7UGArsi4QUS5M8ALokdGZvY4UPcLkg788GMHtJ/kWfy2zLHtv08T96Pf8Bj7rXJuX8S6MHz6iOlJHeSY2HYuw2Lu6Yoh7g889noWEymTlxdyB4AHe/ebiwvS3H/93jZr9T6qIlNMGPS8kJihstF06PuiF1RKmnQGvoh0HY/nFjL4fkSzL6LiUsokZqjjGS4kids7bf7omWkcX0jTRNGQIIpYrwkkZ9JSiRsq98ptoqFgx6j3fdYbDjFDxVRkUpbKa3cqVDouliZjqsooELBoOgLpl4sb/OJulWubTRw/4q3lBs8vZvjumdL4u8YNdUxKfHungyTByVKC125XGPjhgbV8ohhnu9VnqRDn/m6HluOTsHXCaMiJYoJLsyleu1Ph5nabRk/QhL2wkOH3zk+iKRITSZOuF6LIgv1lvd4naelCc85U6XtCUaDl+KQsodtn6wqmJjOdtjBVmVMLGZqOz2bDYTJlMpW2WK328IKIk6UE280Bla475gkFmEqZ/PWLkwRhxC/u15jLxdhqDqh3PapdjyFD6n3RP7263hqjEjMxg3J7gOMFxBI6Z6dSXF1vst0aHOlUnkbp7HH7TVMkUpZGo+dxb1TKzMUMKqORmw9rgWRtIfW0UutRiBtjQMrhkZmjOFBPTyY/9h78uM/it2WO7fB9ev3uR7/pMfaZO7d/9I/+Ef/df/ffsb29zblz5/iH//Af8sorr3yiz/oi1oWflj2Jg6x2XModdyzOuHfgbrcGj0VCPqkdDjwUWfTX8rHH35OhqSzmbb56PEezL0pahqpgqEJB+52VOgMfptImkmQBQy5Op5lMW/zv727gjyiXcjGdV07k+WCzhSoLB1dKWhTiBtm4wVI+zq+Wa/z8ToWYqbGQExROK7UexaRFcXToTKZM3llp4HghS8U4W80Bv7pf43gxzlbTwQuH9P2Qv/fNJYIowgtC3lyu8T/85C4TKYtS0sQPQjbqfWpdwf6/99us1PqUOwPcIGIua9Poe6zUuhQTYv5p7/A0NZkLMxn8MGKhIJhTqh2XmCHmwB5UhTr63d0uW00HXRVM/TMZmzNTCX58q8Jk2uTlpTyVtks6ptN1fRKmhqkpqLJMEAgKKU0VWnYnSnHmsyLLvlfpCk2zkXLB3d0Ou22XqbTJjXst0rbO148XGAQBsxmbDzZFn9HSFExdIaY9FFRtDwIMUyVlqaRtMbe40xZOa+BHPKh2mUxZLI4OeZE9hzyo9jBU5cBz2Y8e/iz2++FDdaXaZTpjc3k+Q3sgaOce1wKpdd0xNVpjJJPz3FyW3zlTfGRk5sM4UD+ufZxn8duCVzjqPj+pfabO7Z/8k3/Cf/lf/pf8o3/0j/ja177G//Q//U/83u/9Hjdu3GBubu4TfeYXrS78cezTlhX2sqv94oyyxGNFQD+O7Q88XF+oHrf6Pm8s1yilTOaz9oENXOsKYEfc1JhI2qzXauiqTC6uM5E2KSVNFvIxrm22sHWF+ZzF6Ykkl2bTyAj6qPWGw0LOZrs5ENloPkZ3EHCsEOfiTGqMuExYGqWkwbfPlpCAd1cb3N7p0vcC4qbKC/NZLs2lycU0+m7Irx5UUWSJ6kjfTB/1D21DIR83uLHd5pf3q5yZTLLZdNAVMbs1mTIFwtATwpnL1S6rtT4dRziXtKWxNVIJqHVdEsZBMdk9ot3ptEV3EPD6/Rq/uFtFkuBEKc5MxmYQhCOZmg6OF46f93sbTTRV5q2VGs1+wCsn8zwzl8bUZL53doJb2x3ulbukTY1vniqwWIhhKDL/z1eXiJsabzyo89ZyHT+K2Gw4vB3TKSVN/rc31+i5IX/juWl+50yJzeaA3faAvhdS7/noisSVtQY3tzucn07x7FxaQPpPFFiudGgPQgZ+xIuLObIxg9fv16h1PdK2xmYjpN6v8x8+O8X5qRR+OOT97SaNvsdE0jrwXD7rvvrhQ9XUFa6uNzmWf0g797gWyN57DU1lYtSrbPY9Kl33APn344LzT8Mo9KR2VE9QUON95pf+WHbUfX5S+0yd23//3//3/J2/83f4u3/37wLwD//hP+Tf/bt/x//4P/6P/IN/8A8+y0t/4explBU+67LuXuBxQHMubiBLEht1h2g4ZDojMqoHFUFDdafcQZIkXj6eJxoOWcjZzGVjVDoDXjme58XFLH4YMZu1Dzjz0sBHGs32TWcstkcAk+fns8xmrUcOjD2ewTu73THiUJYldtsDrqw3WCrFcX0h4fKfvbyA44U0+h5Nx8PxIvwRci9uCvRlNBSCsMWEiT0SGg3CITFDoeMEJCyNX96r8U/eXiNl6RzL2yzk4zwzlyZpqlQ7Bo2RIvieyRLMZWxyMZ1y2+VndypkbJ2FfIzhcMiVtQZfPZ4nCoVCuaZISBIEUUTcUNlpOti6yrWtNm88qDGVtug4ARemU8znbModl+m0xemJBFNpk74r+DRv7HT41YMqCUsnaQqm/Ndub/J/fmmeU6UEb682uLXd4ZWTBdbrfbaafSRJZrPpcHoiwVIhzoNqnw82W5woxtFkmRfmM8ykLe7sdigmTc5OJtlo9Lmx1UaSBJii7wX0vBDPj1gZoX2zMZ3r2+GB326/U/ms+kaHD9WUqdEyfapdkRV/2F75OKKrv6ng/DBeoZAQ6uCHiax/04nDUbiKT2qfmXPzPI933nmH/+q/+q8OvP69732P119//cj3uK6L6z5sILbb7c/q9h5rn9em6x45cdN5uHkcL/hYZYVfV1l3HMmqMpMpk7dWG7y/3mQmazGVEqCMM5NiYPtfvSukTf7DZ6eFuGmtRxANmUgIdouYKshr53MHs8sH5S4fbIr1YYx4AQ1VNPOPioQnkhZX1hrcL3cJoyErtR7VrkcYCW7JUxOi7/HDmzs8O5fl7FQSXZWZSlms1HpMpky8IGQyZZK1dW5stWj2PCYSJi8fy/Or5Rq2ruAFEV8/kSdhqPzP13dYyMVG4xE6m80+56dSHCskSFkuO+3BgUDjZCnBUjFONBySstXxjFWl41Ltuuy2B3znTJFLc2mWaz0cL0STZc7PJtEVib4fstMeUOt6TCRNNhp9+l6IrsjMZmzipoYmS1Q6LpKEGMfoDLi21ea99RYJUxNKDobKcAjVnuDLlCSJ46UEa/U+7280mUpbtBzRA/3l/RqlpMmxfIwPNltUui6mpnCn3KWUNMZglOVKl4bjc346xa2dDkE0xNQUjhXjZGL6uBd5qpTgubnsIwz6cxn7M+0bHT5ULV1lIWdzfjpFKWlybjpJLqaTtPQDZ8RCPkbS1PCCcKx9NwTUnlBAbzveryUz+yjbH9iKdW1yc6dNx/EPsLD8pntwRwXgn9Q+M+dWrVYJw5BSqXTg9VKpxM7OzpHv+Qf/4B/w3/w3/81ndUsfaUdtnkuzaU4U41S67m/U4W02HFZrDzeP1IGWrR0ZHX6YPa3I8cOCgGpHwPzPT6XougHLI8qovifAE++u1ikmBOVSOqbxzFyGH94s89ZKnXrP40QxzjdOFjg/neL2Vhs3iB5xbodh+eXOYCR+aT72HmcyFhemU9zZ6VDpuCiyTMAQVZHRFMGReGkmw2qtR8rS0FWZCzNplgpxBkFELqZTSBrYmsILiznulzs8qHZ5ZjbN5fkMQRQRM1TOTCa4X+7yteP5cc8sYWosjcYT9n6H/YHGbMYibqjc2e3QdUVG+H9/ZZFf3q/xL69skjBVNFWm2vH4ymKOQsJgrdYnHxdl0+Val/TI6fa8gGxM48J0iiiCn9+r8K/f2+ROucNqtc9//rUF/uDiFHd2O6zWehQSJsPhkEbfY7slEy8mKCQMwThT7QslhLhO2/FJ2RrRKMUJIzELVu262LqCIksU4gZeGBE3FDYbA9bqfU4U46zXRcDzlWM5zk4mqfc8FvKCeWW97ox5S2VZ4rtnipS77oEAbG8G8LPqG+0dqje2RN9s4IV89+wE8zmbWs+j2nHppkyydsDbI+abaAj3K10uz2eZyVhc32wzRCieX5pNY6gyq/U+F6Z/885t/3qLImgPfNqOj7lPHfzz0IM7vC/M4Se/l88cUCJJB13vcDh85LU9+6//6/+av//3//74v9vtNrOzs5/p/e23w3X3PbmWH9wczQI9hWjxo3gQH+dAx3NEo/8eIvTAjlKs/qxts9HnBzd3ubLawNSVMRfkmA8zayNLEqoisVbvE0ZDQQ01Gpw1dWUs33N5LktpdFC/uJDl7dU6paSJJksjpJ6JoSmP3MP+CC8XNzhZjKMqMlfXm7y1XOd4Mc61zdYB1N2eCOrZqRTXt9v4YURMV/ja8TwxQ2Ot3qeYMNE7CsPhkGOFGKu1PmemkpQS5niUASBt65woxdlqOGPKK0tTiIZD1qqCO/P2zi53drtoisRytcfJUpw/fGZ6HM3vDzRqXZcPNlo0+kIE9P31FnO5GF9ZyvGg2uNeucsLC1mCaMit3Q4vzGc4N5Wk3HYJowjbSPEvr2zQ80JePVnkr1+coueG3NntIMsS3zxVFBmFLHNnu0PzhEez73N9q80fXIrz9ZMFfn6nguMJguM/uDhFPmFQ63icmoiTjevENJUraw2CUGRdcVNDliSmUibbrQHPzKbJxnTcIGQ+F+Mnt8qYmkzK0sjNpWn0xbD88UKCqbSFIonfOGlplPbB8qNoKGb2EDN7bhCy2ehzfbPNdst57BD346zteNR6Ho2ehzbKxg/v3Vzc4PJ8BlWRWav1KCZNJtMm//q9TcptkY2enkxiacpYiBeg7wkE7NmpFGlbZ63eH498bDUHRPBEatv77WlWj/Z/ViklMuykpfPDGzvj77Bnn5eZ4f374tNU7z6zkzGfz6MoyiNZWrlcfiSb2zPDMDCM31zUcLjuXkyY1HseV9YaY7XeTxPhPK6scnk+w9X1JndHishHOdC9OaK92Zi96DBtax9x1adrbcfj6kaL71/bIRwKeZrW6B72nkncULm506bV98mNGCJE9C++S8bSKCVNMrbOt04XuV/uosgS05kYr5zIU0yK4efbOx2c0QxQytQOPO+9CG+xEEORJVw/4vV7Fa5tdpjLWdR6Hr+6X2U+F8PS1TE68uJMit89LwiHK12XiaTI9D7YaPD1EwWKSYOUrTGXtZjPxR8ZY9g7LJo9j5mszSsnCgecXr3roqmCP1OUSFUcT4iF1nsebcdnqzkgCIdjwAvAVkv0JN/fbPKjm2VkSSJhqvy1C5P8J8/PslLrMZ0WIIvOwOfdtSbnp5OcLMUZ+BHVnstfvzjFd8+UOD2Z5IONFg8qXTabDtWux4WZFC8dyxJGESDRdwMm0xbtQcAHGy2emRFk0a4f8cxcmjOTCRjCTMak1vOJwuGIpkvlQaXHbMZiKmVyaiLJuekkC/kAS5MxVJmpTJLUCLgy8CI2m0It4PRkkrihsFbvc7/SZTEfZy5ncSwfG1cfDu8R1w9IWjovH8thaQobdYeW6Y9ZPT5qznWz0efqRktkqHHBTlLrekdC7+t9D8cPKSYMhsMh7603+Wdvb3JyIi7AP0NRzm46/hg4AlDuuMTrfUpJg+GoknB7R9CanZ/5eCjkp1l63S8ivJeNPjef5a9dmPhCzgwfts/Muem6zuXLl/nBD37AH//xH49f/8EPfsAf/dEffVaX/VR2+Ac3VJn1Rl9obu2zTxrhPA6OK1Sqo/F1j3Kglqbw/Gg2ptJ1xxvVOiKr+Syt1vNYrfUYaV4yRCgmN2x//EwqXZe24+NHEYWEwbdPF7m2KcplqVGWd3E6hRuEvL3a5q3lOje22yQtjd89N8FMxubPrm5yZa2JrSsUEyavni7y7dPFRxxcLm6wXu+xXGnxqwd1TE3Mxe22BSt7OqaPo/yeG3BlvcGpktAvUxWJvhtybaPJmVFvZaUqiJ+rXY+B3yY/uka9KyRxXrtdYaXWJWFoxDZajxw82bjBGUXmh7d26QwCqh0XLxzSc0XWvdMeYOkKksQB5+YHgnB4o97nWD6G4ws2/HdWG5ycSFCIG/TckF89qLHZcFjI26zXe8xkbRZyMa6s1UlZAnyyR/MkS2Jua7na4wfXBbVZNBTq0KamspjX+OpSjitrTbaaDs/NZXjpWJaTpTi7bdHns3SVhKnwo5tl+l7IpZk0x/IxdFXmRFEw7Td6HjIC3OMEIau1Pm4Q0XZ8EqYgpw6jiHvlLrmYwZnJFIWESdxQeXO5wXTG4sRIMHal2uPdtTq2rqKrCg3H5/3NNjNpi5msxaXZNFfXm7QGgtXjwwBRta7LD27u8v3ru+OA8JnZNM/PZ9hqOY84i93WgLVan522Qylh0vdDgiii74reZq3vUYgb3No5mE3IEkwmTYJoyP3KwQD144K17pe7/Gq5SncQYqgypqaw0eiTtLSPFEo9bPtFhPfaGd+/vsN02uT8dOoLOTO83z7Tmtbf//t/n7/9t/82zz//PC+//DL/+B//Y9bW1vh7f+/vfZaX/cR2uJnphRELuRit/kFH9kkjnMdR9Gw1nQNKwXuvHxDrjBs8qHTHg6FeGI11tD7KPmmZ4/D7lvJxGj3vAH0QCAc38MPxM6l2XExNxdSg74Z87Xies5PJA2wluVEPpdr1KCXN8RzRrW3B5OGPSl+KLFPveby7VudEKf7Ifde6Lje3O1xdb/Kg2sPSFM5NJZnL2miKQn+kM7cnkDmdsXj9fo2YoaErCrqt8DdemEUG3lqucWu3g+OGnJpM8uxsmgeVLhdn0mw2HNYafV67XWY4fMgJeFQWn7A0MrY+nsPTlCE9L+Tmdps/fnaaB+Uug2A4dpwgFKBvbLcJIui5ITFD4VQpQcLURorfad5ZbbDdcsgldGo9byz4OZWyOF5M8MZyndmsTXsQ0B0EyLKEpsokTI32QMjEJE2NhKliaDIZW+c/fGaaSzNp2gOfxbxg6nhrpcEbyzWSpsZW02EiZXF+OsVffrDDj26VOZYXGfZzc2ke1Hrcr3RZyMW4tdshpivc2ulwbaOFG0aj3p/oSe71BNsDn6yt88FmC0mCWcni2lZrNP/ns9t2Gfh9ZrM2HScgjIZsthzStnYk883j1vJ6o8+V1cZ4nYaRyMaO5QVB92HbC277bkjfCCkkDFRFxtYVgmjIvXKX3z07cSTgZakYF/p7hvKJwVqd0YzccqVPEEX03HCsVn9nRzzbY4VH98DjbL+I8J7tfY8zk8kv/MzwZ+rc/ubf/JvUajX+2//2v2V7e5vz58/zF3/xF8zPz3+Wl/3EdriZWUoaZEeH1NOIcB5XCphKW9R7H+5Ac3GDFxdzY4qgmbj1xDIcH1XmOMr5KbL0yPv6boipymRj+oESqSpLY3Xjw9/zw9hK9py9patMpYWgZdcN2G4NyMV1VmuCuXYIdN3wyGy5PfAJooiptBiiLsQN7ux2mUxbXJpN0XMDADquz/FinMVCjGvrLbacPoos8btnJxgEIT+8uctmc0C142HrCuv1HqcmEqQsjWbfJ26ptDcfQvf3OAEPE97Wui5d1x+TG7+9UqfjBdR7Lt84WSAxci4bDYflapeW45G1dFRFwlAV3t9o4gURsixxspRgImVg6TKWLoMkINwPRvRV0XAIQzhejPPVY3kmkyYJU6Xchps7bUoJU2SIMUEg/OxchoSh0vUCal1XaNr1fSZTJvm4QdPxuLnd5i8+2KbZ95lKW2iKzLVNkaF+ZSnL+xstep4/GtpWxb1KEu+sNogZKrm4wf3yFlc3xfdIjWb7igmTIIqYydr0vYB8XGcuazOVtkSfst5HlWUsXSGMBEI0HAq19OFQDJ1Xuh677cFjmW8OW7XjYuoK0mgNgXBw1a7L5YVHQVhL+Th9N6Q98Fip9jhWiPP75yfYbjlUOh65uCDK/p0zRQEwO8IpZD+Fc9jtDDA0hb4vghOAyBFB0HTGYr3hoKnyEzug/SLCe6bIEvm4wW7b5bn5zBfKmR22zxyN8Kd/+qf86Z/+6Wd9madmjyNefRoRTiFukLZ13l2tHwBinCjGeX+jOXYIj3OgR93bR2VlH8VM8Djnd2oiMeoDPXzfB5tNvnWqSNsNxiXSatdlfgTU2Lvu4QzYDyOhqHwoO91zgj03YKcluCVNVWYqbfHGAzEHpykywej9qixxr9whHzcIoyHrI5CBocqcn05h6TL/5K0NQVllqXz3dAlJ2kNBpsjFdbZbA7peQMrSiRsqrYHPbnvA3ZGyQtcNkCSJpUIM1w/RYgZvjEiHz0+nuFvu8qDaGx+W8zmbpUKMvuuz2Rzw41tlFFlIAM1nbRbzNmu1PrqqkIvrGKpEexCyPio1SZJEFEG5M0BTJP7g0hTXt9poigwMmUqLMYiray0MRabnBrQcX/QZPYEw1BWFzabDfC4mVKijIc/MZtio99FUmTu7Hf7omWlKCYNrWy26bsCLiznuVbrcr/QAxqW4mKEiSRJDxD0t5GIkTJVm32MmY9MviB7o8WKcWtflvfUmby/XafRFCfJkKcGpyRQfbLbouaLvuNV02G45JC0VWVI4PZGk0nFp9T2mMxbvrTV4d7WJrkqcm0oxm7VgOKTcdcnFdL56PD+WrXncWjrK8gmDjKXRsrWHEH1ZYj4XE5yWR+yhpKnxN56b5UG5h6HLnJtKsDYq652aEKMaubhxYDj7o+xJKycPKqL3fGYixU9u7eKMgoPTk0mm0ha/vF8TquRP+PmHRYT3yrLZmI6mfgqM/W+J/VZxS/6m7GnA52tdlzu7XWYzFjG9cMApTGdsTE1hMm19LAdaf4Ks7KPYyh/n/ExNppgwx0wmIJBhjb7PhekUWy2HtK1zeSEznv/Z/7w+Sj14Tx17Km3xwUaTWs/DUGReOZVnIWdzfVNE7I4XEDPEoRmGET+7U+HCjCgXbrcGbLUcNuoOr5zM861TRXIxg+3WgLQtpHeGQzibTRJEEf/7lU1+9aDOYNRLeXYuw4uLWUCUAtUR8bImS+iK6GW+8aDGg1qPd1YFGfO3TxepvrNOztb5+vE8iixzbaPFA13FMhSurjeo9zz++LkZNpsOMkJhWqiTqwz8iJ/fraCMUHn1rsurZ4rcK3dpOj6/f35SOKZGn8mUyamJBMMh/OOfPeA/f3me6YzN+xstbEPF0hVeWsxyvBQjDIcsFmL85bUdfnG3yrdOFVkagW2+e7aEIkn87F6VG1ttfv/iJJMpk1vbD3tHfTdkYIacmkjw3loTAD8c4vghCzmb05NJkqbGTNY6AM1fr/dBktAUCT+MuLXd4cxUklMTSSrdKoYqi+F3QyWKhDjoe2sNqh2PC7MpGj2Pd1cbGKrCbmdA7U6Fb5wscGE6RbXnUkoIqaOBL8qEU2mLpULsifbjbMbm7FQKgIbtM/BDnpvLcnHmoUhrx/G5vdPhg80m/VGwsJiP8eJilr4XsNUcHImWfVL7OAARXVV4Z6XCxZkUczmL7eaAQtLka8dzDIcC0HO4HfJRn79fRDg/6tPLssRUyuKLbl86t1+TrTf6XN1ooiti4HgmY+P4IfW+N9IP+2gHejhCS5oamZhGENmUOwMGfvRID+ijUFGPc37tQXAArOJ4AR3Xp+14tBzvAJ2WiOAbj0SOR2WZ+zdiMTHg1ISYqZoeMXNMpS00Veb3L05yYSZFa+CTHkXpv3xQ41g+zkqtx5X1BsWERcrU6NoBG/U+9a7H7EhpO4yG3NzpUO96/N5IZPTWdpsoGqIpQkiz0nap9VyyMZ3TpThX1puoskTCUjk1kcALImo9kT3stge89aDOQi7G//WrC4DEre025c6AlhOw3XQ4NZnk4kyaf/r2On/5wTZ/cGmKzkBQfH3nTIlCXAwrl1IWnYFPJqZjqAo9N2AxH2ej4fDnH2zTHviossyt7TadQcCpicSI57HLV5dyJAyVnhtyvBhjLhdjvd6n54XIssTZiSRX15u8drvM8WKcmbQ16tGGDAKL5+YyXJpJYRuiFLyXXWdjYpxBZO1x3lxpEEVDdFXi7FTqSHThZsOh2vFQR6Wurhtg6QpDhmRiYvTD0hW+uZjl/EwS1xdzgH4YMggi7u52ycR0XlrMsdkUs26/Wq5Rbg/4v71yjAtTKZarPSojarOZjMVue0DL8VgqCB27wr4s/vD6U2RJPDtdPOOZtM3iyDHu7aV7ZTGDebz4kBB6bw89M5vhWCHxRPv7cfZxOB3TtkYmpvPanTLTaQtdlTEUiY4TUOkMmBr9lh/n86czQuz29GSCRs9HU6UjRyGeln2eSDC+dG6/JttzIvt5HUEwtz/JHMxREOlMzOB0KYE66s/sbc79PaCPotx6nPOby9gE0XBcNtxoOCPYvcz3r+8ylbZ45XieCJ44Mj28Ecsdl87A5+WlHJdmBWjj5nabM5NJcjGN89NJmn2fH9+qcGO7Td8NWMjHqLTdsXKypauUkiZNx+faVouplMVux+XndyrkEgYXZ9L4kVDdnsnYJCzBpG/rCjFd9L5iusrF2TRTGZtaVwyRxw2Vd9bqGJqCrauoskRr4FPrulyen2C50qPtCt2zarVHaxBwa7vNM3MZThQTvLlc50QxzisnC8QMFUtT6Ax83t9o8cZynXA4JIyGY7qwUxOCKOCvblfwo4ggFIPrd3Y7gGAveW+9yYmJOElLI26oLORi/ODmLm+u1JnPxfjp7TKXZtP84aVp/tc3Vnlzpc7r4ZA/eW6GP3pmirOTSWKGOg5K9rLrjXofU0uhqxK1rsu3Txc5O5Wi1fdZyNuPBTHEDJXKnnBpTCdlCwaUC9NpQPTJjhVizGdj7LRc6l2XYspk4Ef8+OYujb5P2tYpJAy+fjzPcAhLhbhAlg6FJJAfDUlaKn9+bZuf361S7wlWmf/48gwvL+XoOD73yt1HVAT2xmvW6n0KCRNTk/HCCPnQXrpX7lLreeNB/D2S5Kc17/VxNCj3I6J32gNSlggOwuGQUsrE1lWUQ5QdT/L5SUtUVhbzT+UrPdY+b8oDXzq3X5N92rmS/Y7B8QLW6n1++aAGTFHruqiKzOX5DF3XfwSI8mGoqL0m+uGyzH70171yl5MTCTK2znZzgONHdN2Arhdwv9Ljx7d2MXVlPFz7uMg0ioYYqszAf8jWOkZaxgx6rgAatAc+N7fbFBMGpaRJreuOgSHNvgCn7CknO17AVtNhq+mwmIvxf1zdRFJkvn6iwD9/e42L0ynxnBOGcDL6wyVf7Q6QJQlNkal2XG5st0mYGn4U4oYSjb6HKsvYI1XqmKFyZipJLm5wZa0xPlQMVabl+GRG7B1JSyMb1zk9meLN5Tp3d7t850wBS1P5xb0ahibTHwQE0ZA3lmu8erpA2tbRZIlLc2k6I+HRlKXR90K2mg4xXcHSFXZaA47l4+TiOrttl82mYBDxg4gh8IMbu/wX34jxt16cG+vfXZpNs9MajHTbDq6N4XDITmvA++tNyt0BCUPllRMFJlMmubhQKn9cdyYb0/jaUo4b2216bkC5M+Drxwscy9sMGVJMGJiawuv3a7y31iAT03n9QZUggq8eL/Cv3l1HluDObofnZtNMZUw6boylQpxTEwlURSKmK3RG6E9FFmsF4I0HdV5YyFLpuuMsHh5mLtmYTjFpkDC1EUBDrPFiUmSYe3vJNhQqnYcoytKItuxpzXt9nH2/HxGdtjU26w65uC4YcryQes+l2tUOID0/T/NqnzflgS+d26/JPiyDqndd1j4ild8fobUGAt6ryOJQtTSFt1YbHCvEuDiTHmdlta4rQCGhiPxOFhNjRpPDTfRvnSrS6PuYmvwI+ksG7paF1IobRJiaKK3e3O5wv9Jlp+0i8RAevx9BuP86qiI0vLZGGeYeeavjR0L+JWnx7lqD9VqPlhPw0zsuXzuR59uni+y8uUalM6DeG/Dt00Umkya7HZcPNgWL/MWZNPYIht5xA06XErx0LMcgELD6kmEeeP5BGI77Dmv1HkvFBOEI3RkNxe9VSAgItqbIWJpAPx6V8WZsnWOFGNIQzk4lOVGM8fJSjsRIYTphClRh3/eImwruCCjgBhGTKQs/jNBVhdmczbF8bHxQDbwACTgzmaTWc5nL2vTcEDcIBSVcxyVl6TwYgUJycR1bV7i502FypHGXtDQcL+T1tQqXF3JMpkw2Gg49V5Q7t1sD/vnb6zh+xETS4NmTWVZqPVZqPWKGRrU7YDJlHRl9FxMm3zpdZLEQE2rVcQNJklhrOBTjBieKCe6UO1Q6AxRZxg1Cem7I9a02x4txTpSS3C13ODORRFNliqPB/rNTSUpJExnYaA7YbbtcmkmLTPXGDvcqPREg+AH1njfO4ves5wa0HZ+YYdEeCImnuKFyvJgQWc2+vZQyNdIjwEmlK57xHpfl07CPQ1a+HxF9Y6vNUjHOVMbCC8QgfKXjAhIZW38seOs3Oa/2cbLUX4d96dx+Tfa4DEqRJf7qduUjU/n9h2nfFdGrqSnMZW06rk9uFKldmE6RsLQxnVM0HFLvebz+QCD+nplNoavKxyofRMBGoz8+dIsJUzDm9w/OvO3B42OGOuIi9MbX6bkBAz8kHdM5WYzTdrwD5K0nSkmaToc3H9SYydhkYzpdNxB9rqzN33xhlpbjc7KUYLftUu+5ZGMG3zs7wQvzWfpeyI9u7eKFQ6Ih1Loe2ZjO8YLIOJOWPn7+Ww0HQ1NIWRrvrTeIhjoZSxIHoqbQ7vv8/F6VmbTN2ckk1a5LMWEeQITOZWxeWMjS6Hs0ejpRNKQwGkWwNYW0rfHGch3H2xtvcJlIib9PpEyOFQThbhBFLOQFb+beQbXdcsjHRSktY+ss5m2qPY/dtjteN7ahiWxUV0ZoRp/OQBBpn51M4gYhM2mLTEznbrnDnV2hXVfrevyzt9dHDrdEpeuJ0qAi853TRZK2EDhtOR7H8sIh7LQGrDf6B9bGZqPPlfUmy5Uu8zl7PF+XsVWGUcS/eHedP3pmmpVqjzCC2YxFPmFwohiJfpgk+mFDIBwKlYP6CHTVcQNeOZ6n0fe5V+6wUutjqArzOZs/uDTFv7m6TcxQUCQxlhI3lDEASmJIpeuSi+v8xQfb/PDGLpMpk7mcQJ0eK8QopUyub7WJRmMoc1mbTMxnqRDnWCE2RuMe1Ud+Wvv+cZ+116tOWRrXN1v4QcTPlutcXW8SRUPWGj0Gfjjeq78uMvQnsc9TFglfOrdfqx0FsnhSMtj9EZptKKg9Qb9VSBjUex7HC3GOF+NjRNcendNbqw2ujufRqijyAmlLO/KapyZE+Hu4IbyQi7GW74+jwz09so4jgBD7Z94GI7qs2YzN6ogst++KMqoXRLQHPqdGWVXLeUjeaqgy6/U+9Z5PwvKZSFrMZW1aA5+dtstLi1kkGX5yq8LP71aRZTg9kWAhF2Mma/HOaoNGT2RJMUM4/YmUeQAZt//gWKv3iOkKx4sJmn0PW1d5bj7NGw/q1Hoe9a7Hd8+VRNbUdYVDHYF/gDGsvOeGJC2NP3hmCj+IuLJaZ7EQZzIlNOk0VWLQDbm21eLMVJL/4PwEpq5Q63rcr/ZYzMcwVZlqZ0A+YfKNkwV22wNWa33aA5+CLKGrChem04/0Zo9CA16cSXOyFOd+pUtnICjMdtsDLF0one+2Xb52PEfK0snExD/RMCIfN8nEdX54s8yfv78leo6rDS7PZ7k8n6G5bxB4P/OHF4R4QcS56RSX5zIMh0O2WwNubHV4Zk6w+wyHQ85NJWkPAhp9j5PFBKcnE2y3HJYrXeKjNfurBzVkScLbCZnN2KzUevzLdzeQkHD8kPNTKf7j52f4z74yS8LUmUgZBKFJTFeIhlDveaw3+zwzm8HxI65vtdBUocUXNzWiqMtua8DZqeSBbCdmqJyfTnF5NPd1uHdk6zL96ZAL0/InQkx+ErR10tTIxgy2Wg7vjUrgaVsjYWiPnA9Piwz909rnKYuEL53bb9yeNJXfH6FtNRwkScJQZbaaA/wwemQR+UFEvefx3lpjHEkF0ZCNRp/2QDtSuNDxw8dmdF/fFx0u5GwqHZ175W3eWq5zblowgjT7Hqcnk2Nk3V5faq+MCjAIIqpdl9OTiRG1mViC7dFsWsvxqfc8srY+7nPN5wQjy92tLq/dLmNqIlvZaQ1oD/wR5ZZBvW+SNFVOTyZ5Zi5NylLRFAGS2L/5txp9igmLIIzwg5DNhkNn4HO8mOA/fWmORt/DVBVqPY+r600m06KkKY2a+fsPv3LHpdwacGoyyUvHshwvJaj1PH5+r8qxYpxj+ThvrTQYeCHSEM5Pp/jRrTJ/dadCFA25ttHi9naHb54qcDyK0BSFW9ud8W+wOWIhuTyfod73RPlvXybxuGrA9a02d3fbNByfesfje+cnmMvaYzh5MOKKnE4L/bz315u8v97kymqdxohQQFUkfnGvSilp8Mxsekz4vFLr8dZynbYjBuglJG5stTlVSqDIErttV7CjSLIoU2sKP7tb4cZ2hygakjI1dE3m7GSSpKXhB0NubrdxvAhDE+twtdbjfrlLreuNf+/dtuiRzuVi3N3tslztsZC3WSrGubLW5Gf3KoSjz3eDiIwtdPGaI4SvxJC7u10uzKQ+NNvZ3zsqJAwmUyZbLYetlsPxYvypZkaPQxfm4gYXpmW2Wg75hIG9r6f9eSE4PmyfpywSvnRuv3H7OKn83qJ/ZjZD2/FYrfeJgPMzj9IQZWI6leX6gc+VYMz6IEvOgb+VkibNvv/YLPKZ2cyYfaHjeCNnpHFlTRA+X5xJ8cJilvNTyXGmtJ/OaL/FdJWtxgB7RHzbcwPeWe1xeT7Lpdk0jhfQdHzC0OXsVIpMTGe11hsfbglTZas5YOAHFBImfU9kLJamoo9Y6NfqfTK2xnZzQM8TQ8t7z2cqbbNc6/H+RgtNkTA1hZ/drfGg0uNvvjBHLqbz/Ru7VDsuxwpxbm6L4eFzoyyu2nVZrvVw/ZC249Ee+LyzWufMZIJye8BfXNthMR8bA3H+H986TnvgM5uzWK31eH+jSavv4QYRla7Hja020xkx89ceuONstzXwcf2QWlc4Cy+IWK31HykjH3V47Ge4vzyfYT5n81e3y6RjBsvVLnFDQ5LgxlaHuazNiVKcd1YbxE2NxXycrZaDKktICHYYU1O4X+mRj/lsNvoMh0JtWpEFICeIIhp9j+PFODe323zvbImpjEBG+qHQzMvYGnFTJWVqNHoeqiJxfirFP3t7jWrPJWGpIxq2IWlLpzNi6Rj4goZqNmvhhRE/ulHmZ/eqRNGQmYzFuSkhxnqqlGS75bDdGlBIGLh+RMLUcPyQmK7Sd0MkGdbrDqcnk2iK4N5s9Dy2Wg66IhCVN7bavL/epJQyOTMhxFrfXqmTtjXeXdU5NZHid84UP9Yg91H2UejChKVxvBhns+F8bkp9H2WflywSvnRuv3H7pKl80tK5MK0/dowgFxPyIapcJYiGY8BHbxAwn7MZ+OGBa85mLMpPmEXer/a4ud3hubkMi7nYGBxyeJh777vttB0qHaHV9cxsmkxM536lw8tLeQZ+yDurdfqjGb3/4NwEsgwPKj1yMZ3JjABcREB2JJvj+CHNvkdyBMqwNIXWSAhTVaDS9dBkmZ/frXJmMoksS+OeUa3r8u5akx/d3OWN5RphNOTlpTzPzKb5s6ubfOdsCbUv8dPbFV48luOv7lR4e6WOoSq8dCzLKz2PuZyNrsgjWDr40ZBS3KDe9dhpD3A8MSN4r9LlndUGf+ulOeYyNq4fsdkasNFwuFfpjVGIEoJQOQgjqh13XMZt9v0Rr6EYNp7N2gy8kNbAZ7naYyIpep8r1d4jfSE3CAmjiJmMyJxu73R4UO1x3lDJxgyub7V4e6XBTMai3BkQM1ReWszx87vVEUpSJRw5mRPFONEQfna3wjdPFgjCIW3HxzZUNhvOuAz8wkKWsyM2DVWGt1abVNouXhCiKjKmJhGEQzoj5Gu167GUj3OskECSZKHcUO1yvJhkLid6eJIkMRz15GZGIqlXN5pjvsi+F/LGco2EORoJ6XvUui4LuRgnSgl66w1yMV3I6+RjyEi8v9GikDAOOJaMraLKMrdHyM97lS5JS2O90edX96v0vYC0rVHt+qxe36GYMEiY6sciMj5sj0MX7v2um43+mOhgq+l8Lkp9v032pXP7DdtnlconLZ2LMym+d26Cd9cEW37G0jhWiFNKCi7B/dc8lo+hqTL3RrI7e3ZUlFjtuJQ7AoVWSprMZmzcIGK7NeDUxEOJj1zc4FunCpyZTLJS7YkI2hDlxGzMYColBDpNTWal2hfs8KUYjhfhBhGNnsdm3WEiZXK6mESSBTfgT29XsEaq18/MpokbCm8s1zk1kWQhb3N9q03G1vjqUh7LkJGRaDmiLLre6LPe6OOFYhzBDSJ+cbciqJUKcTw/ojLwKSRNvCDitdsVDFVGkiKR2Y5UHDK2xi/vVyl33LHOnqUraIpCIWGiqzKaIlPrCZDEmYkE8SFMJE3SloayX31CkZlImqiKTD5h0HFFGdcPI5bSMc5MptBUmQ82WtiGwnzW5m65w/ubLXIxjZWaM+YovTiTYrvp4IURtq6y3RyADU3HJ2np2IaKF/pcXWuyVIzxjRMFBn7Eu6sNhsMhf+ulOf5/b67jeCFzOUHInLRU7ux0CMIhfTcgaWmcmUxiVoWMzFTa5K9fnGII/OR2mULCQFNlGA45O5nA8UN+dq/KTmtA0lJJGBrZmM7vGCoJSzuw/p+dS6PLEglD5W+9OMv1zRY3tzsUEjonJhLUuh7tUUYHotSuqzLVriscua6Si0O1N+B3zhZ5di7NdlMAiFRZ4r21Ji8fz7FxyLEsFRI8qHT5Z++s8fsXpnn5WB5dlVitCTXzYtLC0pSxevtqrcfpycSncm5HtSR6bsCtnQ65uM6d3e6Y6EC0AlxsQx05WXe8x760o+1L5/Y5sM8qlZ/O2Pz1i5Ncmk0dcJx7czKHr7mUl46ceTscJe6VG/cPpMsSLBUPqmXv7ydkbJ2luE6955GL68yNlA2urjfZaglo+p0RhP2nd6v807fXiekKE0mTr58o8Oxcmp4b8tJilmLC5N3VBilbI2GovLPWEKrQErx2u0yt45Gx0+y0B2iKTMJUOVYQ97Z3oKRHg9BeOGQ4HFLtCDq0pKXhhwKqX+64hJEYtt4jCO65AT03YDYrelt7jf6Xj+UoJU3eXK6xmI9R7bijmTedhKGy1XJIGAozGYuvnyhQ7/vcL3exNJnvnitxvBjH1mVSls1iPs5qTfRVz0ym2Gz0ubXdYbvtICHx8lKOC9MpOgOf1VofxwuxNIWtpsNMxkKRZd64V8HUVJ6by9BzAyaTJuthn4VsjD/f2saLhlyey/L2SoO3lutk4jp3dzt89USe/8vXFri7K34LW1eJGyo7wwGXZtJsj5CqXz2e59m5NNWey6lSkpvbbTYbfVZqfWRJYqkYp5AwUGSZxbxAcDb7PkE4RJYlFgsxUiMdwP3rvzvwubPb4eZ2W4x0TCZ5eSlP3FRJmuqYGmzP+l7ARDLGfE7IBIEAiCzkYsxkLGRJYqvh8KDSpdpxOT1SjLi10zngWGxd4cZ2m0pXZIaXZtKkLI2uG1DrCeTtVtMZS+fk4waNnv+pBqOPakl0XB/bUMazoOWOix+GfOdMiSGw0XC4sdUe99l/UwPSvw32pXP7gtvHofXaajokTI0XF3NUuy4pUxsTxe63JymlPglbwXvrDe6UuwxGfaWptMWd3S63d9pYqoKuyuiqwl9e2wZAluHqep1vnCzy7Hyad1YavLFcx1BknpsXc26NnuAsvLbR5P3NFseLcUxVpuvmyMcNSimT+5WuKKnmY6zU+tzeaQu+woSBH4YUkybTaYum4yNJIEmCHzJhqfRHXJcZW+c/ujxLreeiyjIxQ8yvzediVDoDtlpiIPo7Z4pcnElxt9whnzQpJgx+91yJUxMJ1mt90rbGYiFGdgR+SMcEZ2U2phNFoKtC5FSSIQiHDPyAXz6ocnEmxfFigv/ll8tcnssymTbZag54f0NIx7y0kOPt1QaNvoehKGRjOjFTxdBlQQI9JSSIfnG/iqkp6IpEwtK4udVmPhvjhYUsf3Wnwg9u7PC3XpxnqRjnBzd2uL/b5W65Sy6u892zJV5YyHJzu8NP75QxNDF43nED7pe7LOZjzGdtdlrCMc7nbDqDgOnRiMJ+KZY9cwOh+3ZlvUHfi0hbKpdmMnzzVAEFmExbPDuX5sqagMYnTY2Ls2kuzqSoj0rVe0Gcrsj0vAA/EmXtM1NJFnIxJAkBEmk+7GX1vZCZjIWlyazWhPLGuckkz86leWkxx/WtJn0v/FTkw4dVsQtx44h9FCdjC5q2PUuYOje3O9zYbh9wyE9zQPrzRJv1tOxL5/bvue1X612p9em7IS8dy/KVpRxhODySneIoaaD5Q+wXT8JWsNdfag18em5IyhIcjrauMpuz6bsBbhCyXOnR6HmcLMW5ttFit73BHz87zYWZFClbYyEXI2VpvH6/iixLNHo+P75VxtIFQGF61LNYb/THatMrtR7hcMj56SS/d2GCiaRJtSMGhs9MGizmbSRJ5m+/vMDdnQ4xQziApKXTdnx+eqdCwlR5YSFLISGUA8pth2+fLrHbGTCVtscgEVNVODedYrs1YLsphEa/spjjW6eKeIEQ6Px313doOgG2LvPiYo5SwmAIXNtsj+jCVKbTFo2+TzamMfBCYrrCdNpiMm3y+v0ar90uc3YyxXtrTRYLMZ6fz+AEEfN5G0OVyccNPthscrIUJxvTeG+tSdrSkJCIGSoxXTjoO7sdrm+1uLXTZjYjBrQLCYPdlsPZqSSnJ5Pstgf8i3c3mc7YdN2AIIL3V+pcmE4xm7HouiFtx6fj+vjhkOubTebzMU5PJlAlmfV6j2fmHpWdWW/02WoNxowje6+tNwTE/7gsAEV7GnRzGfsAU//+HvR76w3eWq6J76cp7LZd3lqp8yfPzfD8fIZ6zxs7lvuVDi8dy/PdsxP88n6Nnhvw7lqD2ZzFq6fyTKWF1NAnJR8+HOzdr3T5yrGc0DqcSrLZdATdlqbw9koDN3jI4mNqMu2B/5kNSH/eaLOeln3p3P49tz0n1NgnaviL+zXBECFL6Jp8pEbV/oyw1nV5UO1R7dTHoqZH9RN0VSZ6uGdZzMe4vtXmQaVHxxU0WpMpE0WGYsIgHBEWF5MGM1mLIRKmrrBc7XFtq8XZyeRID05mEIS8v97k7FSKMBryexcmSVsaCUvFD4cM/IiW49NzA25ut3lzucZgxBSiKjIzGYt8wmQhH6fjiuwsZqj84aUpdhYGVDsD0a8KIj7YaJGyNKYzFje329wryxQSBqXJFFNpkeHlYjqN0SjBVNpCAm7utAgjiav7FLy3Wg4/ulkeP6u+J9B6Lx3LEoRDjhdDbmy1WKn10FQZU5MJIwiH0HEDlgoJdtoD3l5uUBrpue0FBCeKcS6MMrw9S9ui/HhhOj2G8EuyRD6u0/VCyu0B56ZT+E5I2taRJbEGem7Aq6dLVLveeOTj4kyapKGg523+yVt9em5A1w2IRhRxMUPl1labE6UEX1nKs9V0eGelwVzO5vy0YBw5bPsDnr77UI369k6HlKWRMjVOTSQP9HYfZ62+x1w2jsSQWt9jpzMQc33RkHzCPCJAs/jjZ6c5P51iq+kwlRYK4dMZm0xM50Tpk5MPHzVecLfc5V65y1IxzvkpMT5T77okTJXqiClHlgQDTkGWPjPU5OeNNutp2ZfO7Qtin7SssOeE9sP1w0iwPMxm7I+MDI+K+vpuOBo3eNhP2KPa6nkBf/7+FjFDxTYULs6kx4eJ6HvZyJLEu2t1VFkmYwtoetrSWav3SZkCjJC0NDabA9brPS5MpzleivOt00VsXWGpGOfqeotye0A2rjOXMal0PUoJk2tbbf7igy2iIUhIyEhc32wxk7Z4ZjbNm8s1Om6IJkv4kdCYm0xayJJwJm+v1mn0fP7G5WmqHY9aT7Dil9sD+p4YYJcl+OndCq/fqxEzxLhDcUQOfK/Sww0eqjdE0fCRIGAIOH5I1tY4N5XiXrnLWqNPEA4JQ0G9ZekK1Y7HxdkUr9+rcXE2hSpLVDouPU+APoJoyGTKPPDZsxmb7eaAlVqPYtLgxaUc19abDLwQxxM9zZiusN0Mydga63WH3iBgKm3xr69s8oObu1i6gq2JbPRkKY4beJyfTtHzQuayFmEkhrr3uCWzcZ3X79e4vim05HbaAwxVYTH/qHNLmhobDYd6z8MLI9qOTz5h8I2TBa5tthgOeeKMYjJtUel6lNsCzfu9sxPstAZMZUTGdThAu1Pu0nV8ThTjvLSQxTIeHo+flnx4b5+ZmsxkyuTtEblCLq4LUvJ9mdJhgNlcxmaIQNR+FgPSnzfarKdlXzq3L4B9mrLCXlPbNhSkjjhYlZGUiBdGzCc/fPMcFfXtiZqeLCVGM0YKmZjOlbUmlY6AwncGAZdm07x6usB2c4AqS5yaTDKTsSklTSbTJmu1Pov5GLoqc78seC1jhsqrp4sjQEXAiVKcatflVw9qzGcFxdKPb5X5i2vbbDQcNEXiu2cm+GsXJ0nZKn91p0vPDel7IdEQtpoOpyZE9tPoe7ihcDYbTUeU/gyFYtxgIW/zoNKn1vH41ukCSUvjQaWHF0RM5mxKCZOtpiifxQ2VtuMzk7WQkKj1XG7udLg4k6aUFBp5e4fHUiF2IAgwNZmplMk7qw10RebyXIavnyhwLB/Hj8T3D8OIWzsdlooJ/GDIQs5mpdZlve7QcfwRmMNkNmMRRQdPrVzc4OJMiju7HdbrfV5ezHJuMsntnQ62rnBhJsVqrYeqSGiKQj6uc2oyQWfgs1wV8jC1joeWMlip9dhsOqxUe5yfTvHyUh5LE+rpXhDxl9e2xwrcN7ZaDIFi0hyRDziPUHoBpEY9yKbj47ohXhixkIuRtjR22uGHZhSHtQKvrIme7HZzgCxLPDuX5tVTxUd4Iw/vn3fWmk+9LLe3z4oJk8aIXGE4FECWw5nS4/rkn9WA9OeNNutp2ZfO7VPY56UJ+2nKCnvgEMcLaNna2OlkYzq6KpO19Q/l2Dsq6uuPoPwCSNEljIa0nIBKV2jONfo+qiyxWutxe9vk2laLziDAVGXuZG3+6JkpXlzMcrKUQFdlZEkcekcJn/7Z1S1+ertCwlL5ymIOJ4j40c0dcjFBs+UFEeXOYCR3IoZ2vVDcn6aIMqeqCPXv7eaA9VqfwohJX5Ek1ut9bu92OC0lmMtZfO98iYVcjNduV/jn726gKUIV+uJMmhcXstS7HhlL42QpOdbYGzIUmlyjbBgeHh65mH4AVFBKmrhBRLPncWEmzTtrDZYKcfp+yGazz1TKYiZj8erpIilL42d3KhwvJZhK22w0HH7vwqQgho4iaj2PjeaAM9ZB1em3VxpcWW/g+pGg7JpNcX46xTurdcptl5cWc8ykbdYafeJGgpOlBFfWGpRSFklLcH6Kkq9AE5ZSggDgeD6GqSv8xQdb/PBGmdbA55UTBfpeSBCKUYkgHJK2lMdmBo2eN56fXKn1SZgCrblS72Fr6kjuKXpk7xXiBnd2u7y/0WQmY1Ppevz0ToWJlIWpKXTdgHrPJYqGj5TZfx1lub19psgSa7X+GGWbGmkVPkmm9Fmhqj9vtFlPy750bp/QPk9N2E9TVjhM67U3RxMzVOxRc/vDvmPS1Ch3HLqDENsQFEG5uI6hyvzyQY0PNpqcKCWodz3Wag6ZmIYiCwDDwI+4W+6iyDLNvk8xKVS0l6t90rYQo9xzZFPpRzfaeqPPnd22gICPEI03R3BuNxiSjemkbZ0wGrJR73OqGEdTZM5NpfjxzV2CIZQSBl85lgPg//hgi/vlHroi8/WTeRZzMb5/Y4dMTKfW9USmearIzZ0OK9UuCUNFU2SGQ7iy1uDMZIKFfIzVep8hw7HGnuONnIGpslLtUe44PDeXZTZjHyB03svkbmy1mc3G6A0CouGQP3tvi41GH0OTubfb5exUiucXMlQ6LicnksgSXJxJcXE6xXvrTVZqXcII/up2hW+fFkrMh6mlmn0xgB43VD7YaJGxdS7PZUjHdOKGShANsTSFnhtyZa2OqihoikQsrjOXs1FlmWbPZSplkbQ0bu90UBWZK2sNXrtdwQsjoV/oRyQzGmu1HrNZC1mWMFTlsZmBqSu8t96kkDCZHCmYv71a53fPTuAGEbYuC1LqB3UGQYiuyDyo9Li13aGYMNAU+RBPqcZE0hqrBrTd4JFr/jrKcnv7rNH30BSZtUaPhKGNJZh+k5nS540262nZl87tE9rnqQn7acsK+2m99ttRpM43tlrjIWZbVxkyJBszWK01qXSEQ/na8Tz1nsdrt8pUu95osNlgq+lgajJxQ4guDryQyZTJeqMvHJGlsd5wuLPbYSZjc78i4ORfP54/EtQSRUNemM+KXtpmm53WgOmMhTqihGo6Pm5nwHAI+YSJpspMpQxeXMyykIux2xGcjcfyMV67VcZQBZu/JAmV7ayt87vnJliriTLi1fXmiMllgKYqxE2hXRc3VDK2RncQEEQRb6/UuVfusViI8dxchlpvwFeWcpwsJbi22eLyvLj+nvDk4Yi85fhsNpxRxuvz5x9sYRsql+cybDYH3NrpkDSFgKosSzw3l8HSZTbqA27ttGn2fRRZIm6qrNS63C93afQ9+m7AvXKXvhuQsnS2Wg6NvkfS1PBDoZ4dMxSWaz3eXKmPf3dTE1JFZyeTrNf7VLsuAy/k/HRKDBvvdCi3B8xmLQxNGemR6RhqyGqty+WFDC8sZoXm2+i9z81nKRz6TetdF2v0/rdXa1iaKoiWSwmhbrArSrv+SHap7wWst0SmbagyYTQcZ76FhIEsS/S9h73kx+qo/ZrKcnu/c8bWH2EI+k1nSp8n2qynZV86t09onzTa+yxKmZ9FWWGscNx0OF6Kk7N13CDi7ZWeUJyezXC33OTOTpvn57MHaLhOTyT4xYMaldGzWB6x31+YSQlZHEulOxAjBylL585oYLjjBvS9kHzcGHEMQtcV5bw9vbvkKDOUJYlaz2erNWAybbFUjLPZdDg1meD3L0zyywdV6l2fMBryu+cnyMY0/o/3t7g4k+bUREKIeMop8gmT6xstBoHgIZzPyQx8gRqsdF0uTKdIj0RaK12X9YaDJsvj3trpiSSMhDkX8jHWG30kSaAv6z0xBP6tU0WafZ+2E1BMmKPnWEdVJJ6xHz1AZzO24EGU4N21BuEQinGDluPzoNKlkDDYaDrEDZXlSpfFXIz5fIyf3Kry+r3aGEZ+ZlIMLF/fblOI66QskZVVuy6qLLFRd2gPfFRF5luni5iawkTSojvoMJuxx2XVgR9R7bm8sJglEzNYqwlIfNJSub3bIW1rXN9uc2e3wzOzGb62lOev7lToeQEDX6LV9/jd85NUOgOub7UpjOD0d8tdTE05wMTfdQOWCnGyMR3HDfnu2RK5uE695/OVpRxL+Tj3q90DaheKLHF6IsE3TxaIGwoPqj1OlhI8O5em3hNMHh+2J47aPydLCY4dAXh5GvZFzZQ+b/alc3tC2++UFvKxR9CA8NHR3mdVynzam6XWdbm90yFtaVyazdAZ+NyrdJlO27ywmCMX04EhlbbL+xttvHDIhen0mIbL8UPiujLWeeu6AVc3mjwzm6EQ15FGUP9czGC11me37TBEYrc9GHNPXl1v0HEFD+b3b+ww8EL8cMhW0+HSbJrFfIyf3NpltebghxHPL2R5fj6DDPzJcwLO/aDSZSptUUgY/OD6Dj+6VeY/fQmmUhZTaVHyajk+haQxkgiC4XDIbnvAdsvhmbkMP71TOaBy7gUhcUPMWf3sbgVFkpjNCukZCVit9pAkmUxM59REcqThpvP2SoP2IBjrjs1k7ANjEYd/z9MT0PMCLkyneP1+jbip0nUDcej7IaaqcL/c49ZOm1rPGwmTquQTBn0vwFQVgiiiOwjI2BrpmM5mw6EQN5jPxdhsCrDOxkgiZiJpEERD7pQ73CsL4MheWbXSdcnFDGpdj61mH02RaTge640+rh/ylaU8f3hpGk2VKCUMXj1dJGPrbDYdCgmDM5MJXD8kaWhcns9wa7vNta0WpipKjLm4wXqjz3bboRA3CcKIUsLEMQMKCePAKAMINfarI6cPAt17bbPFi4tZYnsIxyH8ybPT+OGQ3c6AlKU9dk8c3j+zGUELt3+85Wk7ny9ipvR5sy+d2xPYUQOYl+ezH5vQ9LMsZT7NzbLe6HN7t81zcxneWmnwb6/vEIQRSUvlO6cnODOZYGt0cMmyRK3nHaDhenYuxXwuNmaSCKMhGw2H2azFt08X0BSR+dzcbpM0NX7vwiSNvs+zc2miaMiDapc7u11mMja1rsu1zRa5mIEXRHjhkHdWGgyBjG3QdUMkSWKz2efFxSxzWRskhChl0mCz6fA//PguD6o9wmjIckX0m/aYR1RZ5kQxjuOFOH5I3xM9mdMTSXJxnTeX6zh+OFY5j5sq37+2w5nJ5IgU2uVkMc656SQbjT7zuTjhcCjm3Poed3Y7tB2TE6U4uiqTMDXCUMgRaYpEveseWXLNxg2yjGDqPY8rqw1SlkbfDTg3lSZmqFzfbgEQN1XuVbpCGftUgbdXGniB6HnN52yOlxL8q3c2+Nm9Kgu5GC8sZnlhQfQZFUkil9BRZZmf3qkw8EN6biDg6aOyahCFLORsfnq3yg9vlBnCAeX1IBry3PzDknbXDXh5KUd7EKDKoKsK17ZaNPs+i/kYC/kYbhBxa7tNpT0AIKYrvLiQY6Pe50GlRyFhkInpVLsex4sHn01vxG/Z7Pvje8nEdMHFWYiPxVtv7XSYzljjGbIPs8NjAZ+XfvqX9sntS+f2BHbYKfW9iNs7/3/2/ixGjjzP8wM/bm6331fcN89kJpOZycyszKqsrqzqqpppzUzPjDSjEbQYrFZa7C6wwELYB70I0GieJEDv6ofFYh+Ewc5IOy2pe0bdmj6qqqsqqypP5sX7iPv0+7DbzfbB3J0RwQhGBBkkg6R9gQSqSKe5mfn////d32+Lt2dyvVb0w0VLz8s8SZj+kwdR1dmhJIbTJaNJlNuhkCax8EB5cypLy3QxHY+W7TJbTBIEYWT27785zndm89zeDBnWT5XCv9vv4NCkON+sNFhrmNQMl/OjIfejIsZpWi625yMKAk3TZbNlo/eIbCdyGqMZDSkeY6vtcGerzVYrTL0pUhxViqOIcfwgYCwb1vi2WjY/emUIOS4MfrNbm23qRtg4MpHTuLPVppiSB3Wb8yMpFqodyh2Hn93c5JWRNB+cKTBb0tloWNzcCJtMzo6k+ORelU/u1Zgu6rSt8L143YCvluqkNamnNO6yUA1Z8tOKSG6PtTOZT/D3L41xYTTNVtvmR+eH6NhdPrpTxnS6/Oj8EIoYRxbjbDYtLk/nGUmrLFVNxnMa78zkKbdsfnO3gucH3Npss9Gy+P7pEh+eL2HYXWpGOFM2X2kzlNLQZHFHWvUnF0ZoWR4pVUToReMBYQSVS7g7shWVts1yzRw0eEwXE/zF1XU+uVdjLKvxzXKDmVKC784VmC0kGc9rXFmqcbfcwfMCPD/gXqXDL2+HFGP/3sVRvlwKnZn+/hrPacwUdGq622NvCUnBZ4oJFFFgoWwM1tftHg3YbsP0sPLASaqnb7/fO715x7QqMl1IMJxWBzyxER5EZNwOgb2M0mbLZq1h8eG5ob3/0R44TOH6JIwXFFNhzWuxYrDZckgqIWdgLiFju90eQW/IGfj754exvS63NtroSrxXq7G5WzawXI+cLvPBmSKqFCerSdwtd/ZtUkmr4XL8u6+Pc26kxUhKxfJ8vlioIQixXvdeKCeT0yRWGya2G9amdDmMiv7y2gYf361STCu0DJfRrMY7s3kapsu7swXOj6QxHI+xrMpojz6p3x4/X+lQ7Th8cq/G6aEkb0xlmc4ncLs+p4eS1C2XL5fq/K1Xh/nx+aEwDZfW+N29Cp/2GjBisVAReiyrMZJVCIKA8azOx/eq1AyH1bpJpeNwaSLLxfEMHcfjR+eH2OrY3Nps07RcMj3jt9myWKlbzBYSvDqaRhBgq+Xwm7sVTg0l+eBMiaGUwp2tUE/PdDx+d6eM6Yain1I8hizGuLrShN46E4iRS8is1A0+mw8NTlyIYRgeKWWnyrQoCLSsUHbn29Wwo3K76rogxJgtJgfZin7E8/VKnTtbHUYzKm2ny92tDpN5na2Wxa3NNr+br5LTZS5NZvh0vhoqaFcNvl5p8MZkjksTWcptm8WKQd1wEAWBr1fqLGYMvn+6OFAg311jns7re66v3YbpoMhs9343nZAx5epqk4wm9eq+T29PVto2f3Vtg5/f2KLacXbM7M0VE3tG/hEi43Yo7GeUsvrRJOcPavw4KemQfkNDn2Xd9wPOjqaYyoc1tcm8ji6LTOQ15ooJNls2lY5D4IPpdPndfJWvlupMFXRG0urgGdKaTLlVfeDgWKwaZPXmoEOy2GtK2WyG3XNnR1JcX2uSTSu0TI83p7NM5RP8+bfrpFWJtCJycTxL03S5utqAGAiE6bpqx+aNySz/jx+fodsNpUpOlVKcG75fx9nuqSuiQEDA54s1pgs6IxkVsTeScH2tSUIR2WrZOF2fs8MpVuomH9+rEBcEqp1QkuTT+Rp/+IbGh+eGaJguqw2Ta2sNVDn8txtNm1sbS6Q1iWonbFq50WPCT6sS1Y5DVpcZy6r86ZVV8omwjnVuJBm28AcBlttlpWaw3jA5O5wayBipksDNjTbZXjfrSs3kzHCS16ppGqaH6XYRhRhpTeLMcKpHdRaS+NYMd0CdtVg1wpnHiSzfrDbp+rBcbQ+6S/vNQ33V9e3v0fZ8RjMq0/kE85UOmhyn64ep2LQmYTpdMloofXRlqcZELoGuxLkwmqbctoiR4buniny5VOfmRptXx9KcHkphe102e1IvUwWddC9NO5bTBmMVu9cXPJgdOSgy277ft7+Ld6bzfLFYRxRij70njxKJLdUMvliqUekppHf9gC96g+ZZXYqM2z6IjNshcFzdiAc1fpyUdEi/nwlSpAAAgEdJREFUoSHsSgRNitO0PDZaoQjkbDGxQ4X443tVbm20mcrrlNs2VxZrg07Hhx0cAA3LpWl5Ozoklyod8nrYOFFpO7w9nePydI6G4fD9MyVKqbD54f/6e6do2y5j2XCw+Ve3y2FKNB2qMF9da3CqlEIQwt/s//3RPGeGkuSTCl8s1fliqR6S1tbMwTvXZJGxrEal49Cywmiv3/SQUEV+83mFasdlo2nxzkyOrC7TtrvYnktaDYfGc4nQQAVBgCrFqRsushjH9XwMp0vddPAD2GpZzBQS3KsYXF1t4vkBTjccvv7Z9U3+4/emGc9pLNVMfnN3i1gMul0fWQibUiptm0uTWd6YzA4OxblScsClud6wEAR4ezrPcEbj6tombctDiMX4u5dGGcmorDWMkE0lpw3WeP836Tf33NpohaML8Ti3NlqUUipTeT3kPNxjoN/2QtosXY4zntOptm1atsdmyyafkMloEkMpldubbUzHp225AzmcoZSKJscZyar86ZUVXhvP8LPrmyhSnB+/MsRv7lRomC5SXGAkE7KwzBUTPUJrBzEuMF9uo8rhzKXWU3vfnh05qDywfb+7vs9Ur2FoKq9zba2BJos0LfexGraOEomVWzZta6eafdcP1c23jzpE2InIuB0Cx9mN+LDGj5NUk8snFfJJBU2K8+ffrvPJvSq6IlJp27hdf9DCDfcj2/7wbMjbGFIL7X6G3Y6C5XQHh2hf5kORREQB3j9VYKtlk1TCFvXbmy3mKwaLVSNUK4gFTOUTLNcMrq81EeMCK3UzlD1JKPi9SFKMC/zy1haaFOfCWJqvl+t8s9JkIq8NlLxt10ORREzHY70RzsaNZDSqhsNitUNKFal1HCptB9vzuVtuM1PUKaVU/J7emx8EpFSRSsshCODfXdsAP+B7Z0pk9XCWzO76dP2Q4qyQVIgLsZA93wo7Id2uT8tyMd0u5ZZNUpUQBYuW5bFSN4kB36w2mSsm0OU4btfH9u4fcLn+0HotJDIey4YjFmeHUuR1mUonXL+6JLJcNTC9LnXDYzynDdb41dUm70znySXCEYiG6bFat7g0mQHYsQe2H8T9daBJofTQRtPmzFCKV0bTfLVcJ6tLCLFYr6sxnCmMC7BQNXA8H02O94iDJVJKnP/bh6cJgmAga3R+JIXnhw6Q7fksVAyWqgaqHGcsE/C7u1VUSWA8p/PlUp2G6jJTCA3Tdkf0oPJAf7+fG0lR7ThUOw4N02WzZfHaeIbNps1HPSP7KOfAYSKxfnnC90MHSZMEYoT0eNCjyEspgz0W4UFExu2QeBqtu8c5THoctbum6XB1rcnnCzXEuIDpdFlrWIhCY0c02TdYTjccnhV7siR9aqG9Do7tysu+H7BatwbzWcNphalCgo2mFYp+phQyWhdFig+M4nrTJKVIDKdtPp0PDe8703kuT+f4eqWBF/hMF3TemcmTkkVurHeYKyZo2x5fLTfwg1DDa6NpcW44xWhWp244NCyXuunyxmQWuad+7XZ9zo+mqZku+aTMVk98tWE4IVGyAN8sNYj1mi1ODycZyajIgkDbDWuEp4dSrDeMUA7GdHn/dJFUb5h9NKNybTWGJscxesKjUk+V+95WG88PwjqcHpJFd2yPr1caxIUYU3mdSttlOmx+HLzfkbTK9fUWZ4bD+b9ax2GmoDNV0Pl6ucEvlst8cLrAOzN5bqy3+PnNLV6fyISRgy7z766u88l8FWKQUSUqnfBAvTie3Xe9DNaB1yWXkLm+1mSiZzSH0yrnR9LkdJnhjMrtjRajWZ3TQyn+1SeLeH7ASFrjw/MldDnO9fUWXZ/e2ElYy1xvWOR1mZZlDr7TD8D1gpCtZrNFMaEMUqflts350fSO1On2+3xYJqb/+U/na/zqVpmO45FPSIxkNKbzCW5ttCi37EcqGxwUibVMd1CekEWBV0fTXBjL0DQ96qY7iPRmCuFvFWFvRMbtBOG40p/71e4uT+eoGg4bDetQBq/S07vaLioZI6xlbY8mC0mFD8+VWK6bOJ7PT18dYa1uoEjivgdH/3ubpsOvb5ep9IZtdVng7HCKL5fqrDWsB+7/7HCSmxttDLvLaEYLuyl7Wl1Xluu8N1fg1bEMltdlPKuRUEQahovtdhlK3a8r9SNLy/V3RCW7o5a+wa11XCYyGnI8xhuTOd6fKzBV0HG8Lpcmwrm7/kCx2w34fKFKQGiol2oG3ztd5LXxNOdHM8hxAVEQqBkOYjzGUErh7Zk8m62Q+7CUUvjH70wylFL4fKFGShF5ezrPdFHnN3crAA8VzSz0SK99AjQxzlRep9Zx+Hi+xkROYzyrsdW0mciFA95/emWVibxG23KpjqQ5NZSkmFT4+F6NpumST4RMLdP5h6/D7Y7LjfUW54ZTxGIx/vTLFWaLSS5P51FEgYblMp5P4PsBEzmN/8N702w0QqmX18cybDQttloOG61w7vGtqSxbLYvZYkiovB1CDHIJiTubbYIAtto2TctlOB3OEu7V/NFfrxcnMg+VsFmqGSxWOwSE0VPH7vJnX6/xn3x3hrNDKTZa9iOVDYophaQaZ6u1dyS20bIG5QnL9VmshuTep4aSbDQt0qrEdEGPuiUPQGTcThCOK/25V+3u6moDMR6ybyxUjEM1q9Q6DqVe6qzbCycDwHK7FJNhjSMcdN0ZHU7m9DBqPMQzpDWZd2cLjGY1yu0wuqi2HVZ7qcH+/fcPke+dLjKa1RjPaQylFCw37Kbs+gGLFQNdDmV0vne6yFAqHBKXRYGfvjqCKEASkZblMpRSSfR4/SodexCVZDSJLxbr3FhvDQybEANJjDFXSvEP35rgXtnAdDxqHQdBEPhsoYoux/mDi2MsVw3+6Be3qXZCCqyJnE6n3OH8SIrTQymmcjrdIGCtbkEMRCHUWPve6SJVw6HcdkjK8cHQ9Y9fGWayoDORVUkqEv/wzQkWKvuLZvYj9m9XmqQUkZlSgq8WGvzltU1W6iYJOc73Thf48YVhUqrI//TpEilV5OxQasCwsljpMFtK8v/8yVmqho0qxsnp0p5DzbszBFM5nTcmw2H6b1aa3NxsYbg+9yodDMfjw3PDfHhuiM8XqvzJl6vcXG9xbiRsVjLcMPU6nFFZb1q0LQ/LCZ2StCoxXdRpLjcH2Y3+Gi4kZBrbsh6257NYDdf4RP5BQdHd97yfNlu5ZaNK4qCRaqlmkFRFOk6XUkplo2U/UtlgMqfz1lSehuHtqLn1I7Gvlus7yhN9g/290wW+f2bySN/1MiMybicMx5H+3Kt2VzNdFiqdQQS1X4t0XzLk9FCKjCYxVdC5PJ3js54BEYUYb02Fs1S/ulXm1mb7gc5OgZCQVwCSmoQU30vPe/9n/rfrq6w1TAz7PhmzJofR4qlikrQWMl3MlzuIApwdCSO9lCqiikLYDahKJBSJiZxGy/J4eybHZtNElUT+3qUxbvSYPeR4jAtjmYGBSKsSohDD7d43bLPFBOMZbWBAr681KLcd5isdvjNb4PJ0DtPu8sm9MFqbzCfYaNYYy2is1E0ujmcIAvjjz5fQZJHXxzNYro8QA8cLGVyKCZ2pQoKW6fLFYo0/+2oVTRbR5TiKKKDL4TjGB6cLnB/dWzRze8S+2jDJqBKW53NzvclIWiWthdu9Y3vIooDn++STMiMplZligk8Xavz8+iZvTmVJaRJbbTuUqUkqmG6X+bLBZsse0FO9PpHZk1j7w3MlfMJDOaOFtF/9dymEijgIQiyUORpJh7+R7bFaM5k6nQhT27EYQRAwWwpVw2PEBnp/YxmVpu0NHKe0JjOZCxjLany+WKVtdUmqcS73+Cu/Xqmz0bAYzqjkdXlfMvAYDGjetrMQabKIJoPldbFdn5Eef2X/mY5aNigkFX50fojpvN7rltwZiWUT8gPlCbfrE+x/yQh7IDJuLyD2qt1ZTpdSryOxj+1eZ/9g7Dgew2mVj+9V8boBE3mVv3NxlEsTWVbqBsNpNdRSsz1u9lJB/WvdK3cYSat4fsAn89WQzT+jcmOthR8EjPdath9mvJumQywW8h56fkCsFY5czBR00orI1yuN8NoJhbGsiiyGXXTvzuZ3tIVv5yucr3SoGQ5yXOD9U0V+eG6I0YzKesN6oCazX/ScTypcWaqx2rDI6grVjktSCYU1Pzxb4sxQkq9XGlxdbfLmZI7XxsJ35HohV+a9Sodray1UMc5MIYHj+cSFGK9PZCgmFTK99NKdcps/+3aNxYrJ+dEUF0Yz3FhrcWujxalSsseMktxTNHN7xJ5RJYpJhdubLWqGiyIKlHqkvWJcwHC7nColehI6+kBjLKuLXJ7OcWWpzke3K8yVEqRUkblSkksTWRqmO6BYu7XZ3pEh6MsTmW6Xs0MpVDHOYrVDy+pSbluMZrSBc1VKKkzldbK6zCfzVT66U6GUUuje2iSlSpwbTVFMKkzmNW5ttNlsWpRSKqW0wFhW5d38Tt5HRRQ4PZQkFoOtls1IWuX8aJpvVxpcW2/1ulPDUY3f3isDMVKKiCaLD6zb/ViIcprEzJkE+YTM9fXWY3G49h26dyk88HcvqgTN00Zk3A6BkzBYfRRM7bE53j9V5FQpyUbLYiofkuI6nj/wOvvcfmeGUgOV4LNDSRJKnJrhklRE3pnJM5RSKKZU/vLq+p6dnYs1A1WKI4uh4vAnCzW+WqozkdcYy2gHpkIXqgaqKHBp27Bwy/KYLCTI6BJ/fX0zPKh6qZqRjMrl6SxvTecfuNb2w77Sdths2Xyz2uSfvD1JIaEgCsK+NZn90lT9Z9aVOLOyzsWJLOWOw1rTRpUEXhlNc7enZlBKyvz6VoWbGy0gxu3NNmJc4LVqhjcms2y2bOyuPzBsAA3Dwffhzakc787mub7e5E+urJDRZKYLLaodZ9/3t/3+NDnUQdOVOGsNk3xCoWOHM1tJNU5aKQy05LZrjL07W8B2fX5xY4u66ZLRJZqmy0LF4FQp2WNuCWWBVur3RyhKKYW5UoK25fFX1zbJJ2RGMypj2TByfm08vaNG1LY9Lo5nWWmYrDcsXh1Lo8sidcPhXtngvbkC50dS/M3NLb5YrNO2PWzX5ztzeX58YRgIVQSqPbWDADBsj6wmo4pxMprEvXKH1Xp4303TxfF87pUblFuhA1XrOEzldTRZHKzb/mzbetOlYbj87YujzBR0GlYYKZaSSjjiAk+M8PhRyhPP2xn1NBAZtwPwrAarj7JY9/rs750t7SCC1aQ4Nzba3Ct3KCUVzg2nBnppEB6MpeR9lWBdFjkznOK396rc2Ww/YJyGMyrfrjYf6OwsJCREIU5xMkul4/DNch3PDwbK1wcV4DcaFusNe+ewcFLh9ckM1baD5d6PPPvt4GlNYrqQfOBa9+euughCLGS7iMdYqhnEhRh3ttp71mT2w/aIeCSlMlnQ+eRelYbhEhMgIYth5JjXma+E73mjGcrwNK1wNqsbBEhxgStLdbK6jOP5fHqvynw1rKONZDT+4OIo6w2L62uhVt0fvjHOesPE7QaDKKNmOMyXOzvWRv/+ZDGcg0sqcYophRjw69uVQX1nqpBFEGIEAQ9ojE0V9JAZxHQHQqy212WtZrJWNzk3kubOVgen6zOe1Si3bGRRYDIXUmv97MYmHdvD8nzemsrx++eHUESBu1ttitt+86WqgecHbDYtEoqIKgms1c1BB6gmxbm12eab1QbrTYulmkkQBCzWDCbzOsWkwmLVCKnWmja6Eh9oy4XqBBmGUgqO16XSCe9xJKmSUESur7VI9EY7Mrobkk6rIi2rOxjarhsu84RyOt89VeT8SJqUdp+04dxI+tDr5lFwlPLESSF/OGmIjNsBeBaD1UdZrA/7bF+frf+Za2sNaqbL9fUmb03l+fErQztm1fqUW34QXqNte3yxWEWXpQeM01wx8UB02DdIizWTeAyapksuIdO2vD1n3vZCMaXw7Wpz0PE2mdNxuj6iEKpmbz+8FVHA6foMpx/kDPT9ADEu4Ps+GVViKKWQ12U+W6iSkOO0LPfIqZ7tEfFEPoHn+2y1bEppBSEWIyHHKbdszg2neHMySzGlQCzG73odjqeHUkzmNVKKyFLN4MJoms/na1xda7JcM9GkOD98ZYjxrMbf3NhkvdeN95MLw3xwusidzRYd2+P6eouRjELL6mJ7Pobd5ZWRMJ11aTIcrah2wmaf8azGG1M5FCke3mtSGcwUir3Oz77GWMtyQ303Teq949BYGk4XRRRIqCKVjs1itdNjINHZaoXNOG3b47PFKvVeZ23H9vjoTplTpQTnhlOYbtiQsX293d3qhMbT7bLZsmiYLoWEgmF7KGKclZpJ0/Qot22C3gaMC6FzstmyuLHR4k+urNL1A0zX48John//zXFenwhlin5xY4tf3t4iIYuIgsBEXuNH54f4vbNFPluoD5qjZosJpgsJfnY9VA/vdwfHhRgpNZTzMb3uA3qHJwUnhfzhpCEybgfgWQxWH2WxHuaz/c8oksiIFP7kdcNhq20PmEa2U27FhfCgbpih0OheA9lvTOZ2pE6mCzpKXOCLpXpPSVpnPKehySFp8V4zb3vhVDGJYXdDLsHq/a7ObK8xYfvhvVQzdsz6bDf0sihweSrHm1O5AVHyxfE0f3hpDF0Jh4zPDKceuvlbpstGy2KjYTKc0RhOqfzo/NDgfd/caHF6KDlQUw6fL4bn+7w2kePuVpuJnIpwqhC+66zOVF7j17fLgw68+UqHtYZFAEiiwG/vVHj/VIG3ZvJcWaqhiALVttMjfdb4bKHGu7N50ppE0zRYrBiYbpdCMpTYOTOU5C+ubfDFYq2nz9ZjfvEZSBL1O0GHd41zvDaeYalqkFBE/snbk3y1VA/XjSjwwZkis8UES5XQKBcSMh3b41QpQUqV+Gq5jh9AQonTNENlha4fsNGymSroyHFhx56ZzOms1S0UUeC18QxfrzTYbNqYbiiCKosCxZRMEIRD4bFYDCkeQ5dFhlMqqzWLtbo56OIVYjE+vlfl/bkCr46n+Wyhxv/29SqdnlRSIRkOt5dbNj88P0Q+obDZul9zjQsxxrIa19aawP1Ri74jMJ7VTmzq7ySRP5wkRMbtADwtld7tOMpiPcxnD/OZ7ZRb1Y6DEIOkIvHlUuOhA9nbO/X+9KtV/t23G1hul9/eq/Cj80P88NwQv7ldHtAg7RctbT840qrEh+eGqBkuqiTsYMLYfXg3DGfAmLLaMHcYes8PuLbW5O5WmwCYL3c4P2rxwZki+YT8wMFUa9u0HA/b7bLVdri10SKvy0wVdO6VO3x0u8z53hxYIangBwErNXPH2kgoIU9gy/L4+Y0tbM8np8sUEwqm42K7Ct8/U2QorXJ1tUnH6eL596OShumyVDWYKyUoJRW8bkCl4/SMcxZBCFUM/uraBp8v3hfrrHYcikmFquFQN1xmemlaP4ghxgU+W64ylApTsH0FB99PcXer1RMeDdWhM6rEUEYdaKNttcJGkOG0iu9DrSe6+vVqg2SP6HpKF5kpJEirImt1k1gs5COVRIHhlIImxunYDhPJ+yngQjJURC+3Q0Px+mSWO5ttkqpITpe5s9XmldE0780V+MtrG2i95+zP9nm+T8cOB6Hdro/pdEPjp8Sx3C6LVQMxLpDV49heKOMjZWPYns9G00YWY/zw3FDIk9rTgAv5TyWurzUp9iLctbpFXAibmk5q6u9ZnFHPAyLjdgCeRefSURbrYT572Ov1KbeKyVC8s+sH2N7DB7L7WKoZg3kzKR72e3+xUOfMUIq/98Y4ddPdtzB+lDTsVtvecXjD/UjV94OBYRtKqazWTX5xc5PpYpLNhsVK3eTr1eYgWlipGWy1bcq97jq5J63zq1tb3N5s0w0gIQvkEgpjWY3//Zs1vllp8MGZEh+cLjJXTOB6Pks1k41m2KDTfz+fLVRZqBg7NMcKSZnhjMaH50MliYbpIouxAa1SQEBOlxjPabjdYHBdt+sTi8XYbFu8O5Pj88Uany3UBr+n7wfc3mhxa7NFx+rSMB3OlFKkNYkggLQmMp1PsNmyMF2fju1ybiTd6wS0uLHeHlCHJRSRm+stbK874OzU5DBF+Nu7FRRJYK6YHDC99BlS4kKMM0NpVuoWtY6DIsX5zmyemULY1aj1nJTt2F1XemMiy1bHpmV6A+Oe1yVGMioLlQ5ZXSaphMPUMyWdanudGGFNteN0mcqHA+o1w2EopeADalwI16MSrquxrEYuIVNIyjQMl6U75R1R2FtTWRJynKWayY31Fm7X552ZPA3DPbGpv6i7cm9Exu0APO5g9aOkMo6yWA/z2aMu/u2HzmEHssstG1WO7+C/a9ke8+UOFycyvD3zYDdjH0dJw26PQvuq1ooo4Pv3iZ794D7PZUoNmeOX6yZWT+Wg1asB/sW1DRqGiyyGw+0t28PxfP7sm3Ust8tQWkXNafzpl6v8R+9O9bgmXRq9lK7pdgdkwHOlBJoUp9h7d6Gh9AbvIiDUP9Ok+1yA24d5La+LLsW5NBmysPzbr1ZZ6L2T758pMZpR+ejOFjP5BG27O3gHKUXkwliaYlKhZXmMZVTODqWxXI97FYfRtIosSnzvTDHsGG3aSPEYuR7X5dXVJp/cq5JPyRQSMsWkwqXJLP/zZ8u0bY+3pvPkEhL/6xcrzBYTvDae4fPFGr+7V+V0KcmXS3UuTWY5O5xkpqDzT9+bpty2yesyk71UdcfpktYlyj1G//3Wf0qTcLoh6fKdzTYN02Uqp/P9M0XmSgnubHVomA5ZTcbzfF6fzCLGG1Q6cabzcd6bKyDHBeqGS0IWuTyV69F4hfOZb88UODeSIgb88iHO1FwpiSQKIUdpUuZUMcnv7lVObOrvOLlvXyRExu0QeNTB6kftYtq+WBumy3g2rPds79ba67P7LezHWfyHffZiSqGYkHG9gM2WhdsND5TJvE5iF7nrdoN/aii5g5W/j/0OjuGM2lMRkFGlOMs1c8AcMZZVuTSZ5culOrbnU0orPSaVkN8xLsRQpVB5u2GEw9IzhSRDKZVy2+HuVoeEEhpoKS6w2bDClKwmUWk7FJIykhAjpUn8u6vrWE4XMR7f83cdy6h871SB392tYnfDmbZLvZTa9nfbH+ZdaZgIxDg1lCCpiLwxmcPzQ9HXpCLy69tlOrbPWsPk9FCS2VI4I3ZhNE3T9FiuGRRTMrosYjge/8NvF0JyYk3mndk8P3llmKmCTtN0+dmNTXK6xOlSii+WahTTCnJcQIrHqXZsHM/n8kye/89H96gaLn/7tVHemStQTEi0bY+P71YZTiukNRFNivPFQg2367NSM0goEu/M5tClOMWEzHLNZLHaodx2cbv+gEbNcDw6Tpe64dKxPaYK+r4D1u/O5mlZHjfXm7TtLvfKm8wWdb57qsDpoSQNM+x49IOA/+/Hi8yVkiGv5Eias8Mp6obDdCHB6xPhPOOVpdpDnam91vxJT/09De7b5w2RcXuCeJwupv5i7RuC+XJl38jvMAv7SS7+ajvUXcvoIanwTCGB7XV5bTzL6xMZ0tpOMdbtBr8/WLvZMtk+WLvfwZHXZdKqSBDA7+5WuLPVJiBGw3Bomi6Xp3ODuuFoRkUgxtcrdbpBOMj+2kSGsZzGl0t11F4UpYgCi4ZDw3SYzGeg15HpByHbf0IRGU6Hv8VwJkzlfbPSICGHnn1/EHiqoCPFY9wtd9hq2bwzm+fMcIqtlsVkTmc4o5LRpAFjRp+u6t25AvfKbZZrJk3DZbVuIggxvK7fmyULyGjh3FhSFZktJvi9M2GL/ScLNf7mxiaaLFI1HFZqJiMZlbenc9QMh2JKYaNp9tQSRP7tV6s43YA/eG2Ue+V2TxVBoJhUw1pZINAwXX5wtkQ3CHodljKvjqXwA/hquc6b01kSsojphulAYmF3ZFYPmy8+nq/yt18dxu0G/PHnYQTYpwu7ttZEFgWGUyr/7toGX/WYZX5wtkRWl7m61kDtNT3190shqVDp2PzmbnWwDr5ZCSWC/vDSOO/M5Plyqc7/65d3aVoebdvj7Zk8sQAKKYVLkxlKyXA+Ex6tASNK/T1/iIzbE8TjdjE9D/Mr/Xts2x6nSknyCRnT7g6IXkUhxpWl2oDSqNp2BgbfdDw+ne/w9kyBiazONyvNAXv9bpmS/nd9Ol/DcDy6QcD/9vUac6UU783lyOkyTtenajgD5vq64fDaRNgMUO2EB73W01cbzWhsNi0AfAJOl5Lc3mhTSim8M1Pg04UquixSTMqcGU4xmta4sd5EEeN4fgxFjLPRtJDEGJos4gewWguJo39zp0LHDnkDf/rqMO/M5rm71eGr5QaaHEeX4qw3bL5dbQ5+z4Vyh7YdNkV8s9okqYiU0iGnouX61DoO4zmNqbzOSEbje6fjfL5YZ7VucHo4hSjEkOMCv7lT4buni5waSlLtOOQTMpocR5XiiILAeE5jrpTi5noLQYC5YoKJnE7ddKl1HAo9IxQQMNtrElGlOJW2w1wpwaujIbHxfNlgvRm26k9kNaYKCWptG88PsL0u780V+XS+ylfLDbpBQLkdEjVPFxKIgoCuxPG6PoWkzFBKZTynsVwzw2jOdHdQr200LUYz6gMcpzXDQRAIxxzaNvmkjCrH6foBXy83SKsiKV2kYbrMlzu8O1vYMQ94lChse/ZjtWaiKyLZQ6RaIzw7RMbtCeJxUxm7I7+QDzB4LKHE48b2e2yY4WxaPimTT8pI8Rg/u741MM6251Np2xi2hyaLNCyX5bqFslzn71wa5cJYhsVqh9liglfHMg88Y/+7TpeSLFUNXp/Icmkii0/AUjUcuO0ffpW2zdfLDYQYiEKMhCIixwVyuoQmCSjS/RRcRpPQpDhnhlPc2Wrz7myeV0ZT2J7P6aEkYxmVtYbFRE7n0kQWIQZfLTUGw+kQ/q66IrLU657UZJFxKY7j+fz19S3KLYu64bLaCJnuL0/naFruIOKbyOt8tdwgrYaR6VcrDf7xWxN8PF/ld/eqJBURCELDIIsUkgpe12emkMT2wvRe0wrTcx3bI6NJxAgbawwn5G0czqr84OwQ602Lv76xyf/9h6eAGP/Tp0v8zc0tVCnOVCF0KHQ51L5brBosVAyalku2LTGaVRnPalxZahCLxRDjMcZyGtN5jfMjSc4Mp8IuyiBAV+JcnsmhSqFQqxSPcb5X8/psocZ0XudH54dYqZlUOw4jaZW/vLqB4XTDJpwW5BMyv3e2REKO88Y21po+x+lUzwG6MJbudUJarNbNXkQPM8UEbavLcs1gNKsNiL0fJQorJEOl84Qsst60+HyhRsvyTpzDuRsndYThSSMybk8Qj5vK2B75lVIKo5mQQeTjezW2mjYZXaLWcVDl+DNbsNvvsc/GDqE3HRdiO4yz5froikjLdtFkMfTO5TiG69GxPZKKxNnhFKXUw+mvbC9kx8joMleWany90hgQHv/01REmczobTQs/CPjdfEgl1vUDYrGA3z8/zHunCoNZvKQi8bu7FVy/y4XRNA3Lo225vD6RZSglI8UFGqaDKsWZyGmDFFufrFmX79fcsrrE1dXm4H6nCgks1+faWoOZQpKNpk3XD7iyVGeumGA4rbJYNQaE0JrUhhjMFBLEYjGurjX56HaZhBLW/dSent1uVXNFjCPEXNqWRww43aNNS6kiv76zxWrdYiKrkdoIyYQtt9t7HzE8z6duOsyVkqHhl0V+cXOTU6UEZ4dT3NnscGsz5GZcqZlcmszy9kweTRLZaFlkdZl8QqLcdkjIInXTpRsEDKdVLoymCQK4utbk3HCKV8bSfDpfZaMZKj7UDZe75XAgvGm6vDObZzSjcnOzjRCLIQgxZkshl6MfBLy9TadtupDg8nSWALiyVGOlNwR/bjhFo9ehun1ObXvGZK8a9NQu4dW90DQdvlpu9NhlJLK6TNNyubraOBFdk3vhSWd/TrLhjIzbE8TjdjFtp1Mazah8ulDj6kqDybzOL25sMltK8NZUSHK7mDWeiff4sOi01nF2pGU3WxZnh1PMFpOYTpekKhIXQsXrctvlX36yjO12+emrI+T0B+fQiikF2/X4ZrXOj84P06mZ/OZ2hbQuEgNSqsha3WCpZpCQ41Q7Dp/cq2C6XVwvIBaDj+9VmS0m8XuHa8vyKHds5LjAx/M1kkooFGq5HtVOjHLb4tJElpQqs1o3uVfuYLk+b0/n+M5sjqG0Sj4hk1RE1hvWQE0Aeh2bPc5CCPkoY62eMGXbZjKnD95VSpMGc18QKh388tYWhZRCRpV66UVxT1Xzq6sNlqohY//3Thfxg4C7Wx0ujKVxejp21Y5DPK4MouuJnIbj+azWTcotB0UK2V6aPamZquGwWjdxuuGMWMNyyagSXy7VEYUcpbSCLAoEAQjE+GyhRrUTqgAEgc9PLoxyda3JlcUahtsloYhkGxbltk2l7ZDVZWJCjP/1ixX+k+/NMpnXudubbXtlLE3L8gZsKk3L49XRNAGhPNDlmRzFhIzTDXYc3LbrMZrV+dErQ7wyliapiANNvt0Zk9016ErbHqTP95L0WamZxGIxLKfLV8sNrq83eX+uyKWJDJ8uVFmtmSeSweRJspec9LJJZNyeMB6nkaN/eHl+QK3j8OVijZGMhuV2qXQc6qbLbCFBKaU+s5mbh0Wnqw1zh+GzXJ/1hsUPzpYw3VDVOwZUOw5Xlmoh8a0uDQzU7mcp9YaNf327zFwxidcNeGUsTVyAtCaRUSUUKZTGGR1Ps960qBnuYATA9nwm8zo1wyGlinjdgOWaieF0aXY9bm22uLvVCes5pst3ZvPIcYH5qsHF8ewOR+X0cJIYcGerw+cL9bCW1dvYv75dxg/A6frMFBI0jNAYZVSJrC4NDm6n6++I5HevlZrhUGk7+6a1+85TWpPQZZGkKpLVZD5dqFFth2rhp4dTGHYXtRCSWa81LGaKCd6ZybNY7jCR19Flka12WH9sGC7FpEIpqfBvvlzl5mabSxNZbqy3aMguU/mw47KUUvh8q00pqVDp+NzZajGW1WnbIUnySt3k65U6Tm9GL6NK3Ntq0zDD8QifgCAIKKYULLfbi87gr65v8OZkbsDgcmujxXunCqQ06QEV8N1dj4oUEi/HYzEuTWT4zZ2QPODscJKcLg9SmLux1yG9W9JntWGyVDU5M5zk7Zkci9UOv7lbZq6UoJhUBoPgJw1Pkr3kpNN+ncxfJAJw//BqWi4f3akw2WuXXq6ZwM4I4FnN3BwUne42fClVDIdzkwpvTMJv75b57d0wupou6mRUiYwu4/sPflfb9jg/kmIopSBLoZp1IRGm0lK7GFSSishkXh+wf8RiMSZyGgJh/S0hi9RMh1OlJIvVDnXTYblqEARhPSfXY8OfKSZQxfjgWQtJhZbpUm7b/PEXy/zNzS3igoAmxfngTJG/c3GUn1wYZrVhMZwO+Szdrs+9cgdNFpkp6IxmdU4PJ0PKp11Cmds19UYy2g7Jlb3S2v06kCQKXF9rsdawgIC20yUWg9fGstzZalNu2wylVUpJmYQc5/J0joWKQSmt8B9cnuCr5RoN02M0rXJ5Jo8UF/h2tcnnS3VOD6WYyGvc2eyQS7iM9Qy5JAqYTpcbGy3yCYWtlo3hhFyNZs+hmCokqHWccLYup3Nzo40sCoPRjGIyJPFOyCK54TDNt1IzWKh2sJwub/U02RpG2IjUj6xOFZMPHNymE0aYNzZafJAq8u5sgYWKQdVwKAmxHvVYk6WqsSM62+uQ3i3pY9hhKveLxRqjaY3zI2k+ma9SadtcGMuQ1aUdv99JSdM9yRGGk077FRm3E47+gdowXco95d9+eksQYgONtv0W7HFttoddZ7/odD/Dt722oUpxcvp9QctSKtSAa1ouf3l1fechVDW4udFmOK2ixAVyCZliUmWx1iHVE5bsH/4JReL8SIr/8PIEv7tbRZXjZLSQJmooreB3A7KaxFBKZaYQGmBBiCGLAn/r1REujmWYr3S4slTn/Eh6QNdVadusNyzmKx3+5ItVvCAYpB1/davMK6NpPjw3xIWxzI53kdYkVusmk/kcZ4eSDGf2VojeHkEMpSzOjaSYzus7xDl3v2vL9fnlrTKW28UPgnCwXYozlU/w69tb/OvPV1BEgZRa44PTJcZzGmsNk7GsRkDAu7M5XhtPc2+rQ38K/8+/WaNlexQSMtWOjSrFwxpYMTkQCH1jUma+3KZjd/lsvooUFxAFn47tMVNIoEpxOpZHzXC4utbkR+eH+M5cnlsbLTQpTkKO8/abOSYLOtfXm/jdgO/M5qmUksxXQlLlfELm29Um+YTMp/NVzJ7Iq2F3B2KifZmaxapBy/L4zmyBStvho7tlWqaLIonc3miR1mTOj6S4udEedKr+8NzQnof0bkmf/p4LgtDJOjeSotp2uDSZZSyjkZDFp5KmO+p+fpIjDCd99i8ybs8Jti/Sfg1mtpQgl5C5tdHac8Eex2artm222jY/v7HFfKVNSpFIKOKB1+lvwnrHYSKvc6qY3DGEXmnbrDbCCDSry6zVDTK6zFhG5dp6c3Ao9e/5w3OlgWJAv2mllFR4cyrL5Zkcnh88cPgLQoz3TxV4/1QRy+sSj8VwPB/PCxhKK3yz0qBje7w3V6CYVLiyVGcsq/HKaIpf367wsxubnB9JUWnbVNphPWu1Ebb7L9dMvN7JZ7ndMHqKC6zWzQfew5dLdSzPZyKnk5RDwdVPF2oPiLfWDId4PMZELtTba1ouaw2Tt2fyjO5hDPvI6tKOTkLfD/iHb41j9Wpd/8f3Z2haDss1k/lKm1ubOpW2zb2ywQ/OlhhKKuSSCqoY5199ssi9skFAmLKdzuu8MZnFD+CVXcKuAG43IK2JzBSS3NpoUUjKGI7HdDFBy/b4/322RMvyiMXg9YkMP3pliDcmszQsLxwEV0T+4toGf3OjTD4p881qg1dG01yeyrFQNbi+3mKp1glVtVNhA44fwNcrdT48NzTYEw3LpWl5vDGZZSKnsVg1+PWtMpMFnRFJpGa6fLXSZCilDBp57pU7XBizHjikVUkgo0vkEvLAoeynlP0gXGcNw+X90wVKKYVKx+LUUIG75c4TTdM9yn5+kuwlJ332LzJuzwl2L9IfK2LYLWm4vHeqsOeCfdyceKVtc2O9xWrD5Oc3NgmC8CCdyusPvc7uTfjlcmPHJtz+94WEwmROCyVpEhKmG9Iv9Qd5++MPNcNlrphgrW5xcyPsfqt0bApJqVd3etBbLCVDgc664bJQ6aCIcTRJoNK2uVsWOTeSYrNlYTgeU3mdjtPF8brc3mjzF9+uM1MM6ylS/H6XYozQq58u6CQVsScFFAwYWcayO43QUs3g5mYbRRTIaNJgcHm3Pl4MuLvVZqkSjjS8NZWj6wes1k3++vomr46l9z2UErLIT14Z5vtnimy1bfDh/EiKmuGSVqVwEDulMp7V+WyhxnojHCovty2SikguqWA5XTzfR4wLbLVtRjMqaVWimFJIyiJOt0tWVyntSqF+sVjj9mY7JE7WRJxuwJs9JpaxrMo/ujw50OTTZYlq2+Gd2fvq07+8tcW1tSYjGRUxLrBSN/j1nQr/l9+bQ5PEgaKBLAqM9wx8+Jv51Ax3sCeurjZ5ZzpPLiFjOV1W6ybdgMGoRj+t2E/j9/fDSt3ktbHM4JAuJMPMge12ySXkgePVTym/f6rIxfE0Rq8hSpPinC4lSWsyAh0me45JX3fwONN0j7qfnxSBw0mn/YqM23OEoy7Sx82JL9XCesVW0x54tXXDJaOHrfz7XeegTbj977cras8Us3y9fJ+hYvv4w69ul3l1LM3rExnmSgmWauZgM+1l2CCsSd7ebPPr22WurjZRJIH3TxW5PJnlr29soIpxikmZrg+6LHB2KIkQg2/Wmrw1nRt0KG5/b6+MpPhqucF4VuMnF0b4y2vrNHrCnt89VeDM0E7R1P5vMJQKn6Pfvam0BFQxjuV4jKRVPD/g43tVbm22UcQ4//jyBPfKHX51q8xoTqXcsvf10hNynKWqMTAi+aSM5wdcWarxP3++ghgPuTPfmMxxaTIkBh7JqJweSvbeT4V8QmYyr/GTV4aZLuiD+a1cQqZteozl9AdSyks1g9VG2IhyczNUF8jpEtMFnStLNf6XL1aZLSbQ5VBL7uN7VWRxZIdx22haNE0Pw+mS0aSwQaXtsN6wOT8iU0opnBkKRyO+WW2Q02S+M1vojWTIgz2R0SS+WKxzY73FcFqllFIQhdhAqimpilQ7ziCND2GkkdGkwSE9W0oMRjXW6yYTucTA8QqCIBSi3Yf4+8pSaOQhbEZZq1u07LAz9VQpsef6PCpOYo3rJNN+RcbtBcbj5sTLLRvb9SmllAE7REDoDT/sOgdtwt1/31fUnikk9hx/6Ec62w/4wyghL9WMMH3YDcj2NN8+X6gxklKICwLX1pskFBHH83l3Jo/lebwzU0AUBRqG+8B7SysitzZb/OmXq5wqJXlvLs/Z4ZDHcCqfYK6kk0/s5P/sK5YrosC9Soea4eJ4PmOZGB3bIxYTubXZpmk6bLZCFo+hlMJ8pcNni1WKvVGA/bz0StvmV7fLfDpfpWaGxMx/79IYuiwyX+6Q0aQwmgM+ulPm8nSOV0ZTxGLw59+s85u7FVQxPuC+/N7pIvWeMnfbdiklFd7vdStu/86m5fLtSpO1hhk2AWkybjdgs+Ww0bQZTmkoosA3K42BKkI+sbNjsWmG33Nrs43b9YnHYkwVdE6VEoznVHwCxjIq3642WK6FKt2vjWe5vdUmFoAqClR0m0JSGcw5ul2fzZbFqVKCd2bzbDRNNlsWCTnOh+dK5BMy19dbD6TQ+of0laUadSNMiW93vN6cyjJbfFDtfXsWomN7LNdMZkvhGvU8n47T5epqk4bpPnZUc9JrXCcNkXF7gfG4OfFiSuHOVpvTQ6lBTcf3A5JK/KHXOWgT7vf3khgbpOq2jz/02/yPmlbtG9FBMwBgOB4rDYt8IpRTWalb3Fxv8epYmtOlJHI8tu97y+gSn12vhTWdmsHSZx2+f6bE3351BM8PuL7e5Mpyg7wuk9VD1pO8HgqsVjsOOV3C88MB55QqIsYFNho250bSXF9v8cVinYmcxsXxUDrGD2A4HSoMwN5e+p3NNj+/sUm1Ew4ut0yPO5sd0lqYMh3rsXKYbhdRiIXK5D1tsv/hNwsIvejm3dk8AuB1fb53qshv7lUYTmtkdIlvVxuocpzZQqjO/hfXNuhYHhld4t5WJzRaeX3ACRr+jjo/PD/E9fUGOT2M6CZyOqeHklTbdo8H00ASYnxwusjf3NoKxU17oyLvzuRp211qhkPb9hjNaJwaSvDJfI0vl2qcGUqx2jBZb1qDaHY7PZYmi/zwXImFisFq3WS6kODVsTR218eHfVNo+zleaU3a07htz0JosshETqNuODiej+11+XKpFja0bLYfu7nkpNe4Thoi4/YC43Fz4pM5ncWMwXrD4vJ0jrlSYgdv5H7XOWgT7vf3/bb43eMPGTWc40qocZS4QNv2uLPZ4l6589COsb4R7TcDVNoh3VZOC9klCgmZ1brFaC5kyGg7HnfKHWYKiT3f262NFpbro8kiihgOgP/qdplSUuHqWpPr603K7XBw/dJklrenc9helzencliux2bL4T+8PMGtzRZiXKBtuQxnFEbSKre3Qk215ZpJpeMyXQhrYn3DBnt76Ys1g0rHHfx/p+tzc6PJ98+UMJwuNzdazJWSA27GyYKO6XS5vdVGEGKcH03x7kyY5quaLit1k3PDKT44VWS1YfGz65uYrk9OFykkZDZbNqu10Ki8NxtKyNxYb5HR7zca9X/Hn1wY5vWJzIC+S5Pi2J7P9fUWhuOxWDFYb1q8O5vn3EiKjabNSEbhwmiaU0MpAP7y6jqqFI512G4496ZKYmikgr3Z/DOaxOeLdW6ut8jqMhM5HdPt0rBcLo5nOdO79l44anS02xhqsthL2YcdpsouEujHaS456TWuk4bIuD0neNSW/sfJifc301ItFN18YzK7r/TOXv9uv014mL/fPv6Q7DfP9BSp80kFx/WZr3R2kA/vfs7tRnQsq6FKAt87U+LiRIbNRlgn8QlomR6SKDBfNliuGawNW3zvdOEBxomlmjE4+GIxqHUcXp/I0LI9bm20ehIuDglF4spSnam8TtsOhTznSkkmshrKmSKjGY1ub56ubrq0LJfXxrL85m6Zrh9wa6PJd2ZnCAIeOuMGkFbFHYTCttflm9Um/+E7k7w9nUOT4yQVkaGUwkRO5/xImuWawXhWo5iUeX+uyJdLdX5xc5OMJlNuWpRbNhcnsny2UCWlhnWvs8NJbm60ubnRopBUmC4k2GhZvDKS5txICiEW48KuppeuH3B9rTVoLFqpmVxbbzGZ0xAEmCrofLPa4Bc3N7k4keH8SAqn6xMEcHuzRdN0UaQ4HdvFdD3WGmEHqSrGB7W0/aLZxUrYUdu0vPvvSpO4OP7wNX/U6Gg/Y5hWRVpWd8dnj6M+dpJrXCcNkXF7DvC0aG72M6CP8h0H/bv9/n73EPNMIYEUj/Hzm1t8uVSn0KuZDKVV3pvLs1Q19/WItxvRO5ttdFnk1FCCe1sd/vdr68SIhSnWUoJcT66lkFRQRIHPF+t4XX/He9hrHOPV8QwN08Xu+rieP4i0LLfLYjVMu93Z6uB2A7xuwKtjaaYKGqWkQtVw+JMrqwjAj86XODuSZKNh8c5sqFM2ntW4sdFitR7OpJ3ZFi1X2jYN06GUUjk/muqRRMfw/ZBTMatKvD2bp5hSWK1bzBYTnBlO4nR9ut2AoVQ4vN00PX55ewuIMVPQSesSaw2TM8Mp/uDVUVq2S1KV+HyhxlfLDTqOx3zF4L3ZAq9PZPjN3QrnR1P8exdHH0jb7dVY9PlClZw+zHRRx3Z85orhCMG1tRZjGa83ewd/eXUDWRS4PJ1DlUTubXUYSqt07C5ZTSbRa/TZK6p6nNrUUaOj/YzhdCHBz65v7vjsSamPnbRB8yeFyLg9BzgOmpuDFvRJ4Inba4g5pDoyWe+JdEqCwM3NFjc2WpwZTu4gH94LfSMqALc2O1xZbFBIyvytC2GdLKWGIpef3Ktid7ucLiX4ZKHGat1gppB84D3sHscYzarc2mhTSMhh96PrEwCe7/dETm0m83pvDAEWq2GKrm13mcnrfO90kY/vVQmA2UKCV0ZTnB1KgR/wzUpY6zo3nMJwu1xba6JJcQLCgfH1Zshn+N25cBSkY3vkdJmJnEo3CPizr9e5sd7E8XxubTaZr6R5dTRNSpOIxWK8NZXj0/kaZ4dT5HWZobSK6fiUbY/5SofXxjMUEgobLYt7lQ6aJBCLhQwzv71XYa6UCDXmFIm0+mA0v1djka6ItG2Pe1sGv7tb4bXxDGlNRIjFuDieIZuQ+OReDdP1KaVUNps2Y1kVMR5jOKXyj3tpXadHXLBXVPW4tamjOHT7GcN4byzkpNXHTsI+f1qIjNtzgKehC3cSeOJ238Nmy2a1btKxXaYKCbrdgKYZDusGQdhwUkwoh/KIfWC5ZvTem81EXuPyWIatls2v75SRRYHJvE65bfPpvQpzQ6GUTM1wuLvVJq1JvDWV3fPg0+XwwL662qBte7Qsjzcmc6RUCdvrUkorBD78br46MJq22+TqqsypUjjs/OvbZdzZPH/r1RGKKZVbmy3iQoyNhtWbUwt11tpOqBPXf0+3NtpM5jVOlRJIcYG8LhMXYlxba/LVcp2WFY5tdH346HaFUlLB7QZM5XUkUWCmmAhHIAQB2/W4vdXBcru8NZ3jjz9f4ZWRNJ7vs9m0Qu5Ix6aUkgeSOn/w2ihD6b2NwV4RVE4PI97PF2pstmzWGiavjKTJ6BLFdEhtttkKuzsVUeD2ZptPFmq8NZVlJKX2lAM0LK/7QBq0j6ddm9rPGJ7E+thJ2OdPC5Fxew5w3Lpwey3ocstGEYWQukkUsL2wpfq4Z2geFkE2DIfJnD74fj/wyWgytuez1QwPvFxC4nQpwVrDYjSjPUA+vB/miglcz2epZrLRtPC6AZutsGFjPKtze7OFLApkVJFXRjNIYozFikG14xAA19eaJOQ4c6UHG2l2d+rpiogux3sM/AquF1A3ws7PyZ5e2nbGjLen89zdarPRtLi10cYLQpaRr1YafHyvStcPiAuxkH0jr1HfprbQb1cfTqucGU5ybjRNy3S5slynmFIoJGWEWIyW5eF0fbZ6jQ5rDYsPzw3h9ZhTvl1t4nZ9DKfLuzN5hFiMlZpBPAZvz+TDiK5tk9FCzs2kEuq9nR1JklD2rsGWkgpZXebzhZD+LKdJXBjLDAz1+dE0huNxt9Jh1A1VxkvJ+2vd9sIxFNvtslQzcLsBiigwklF5/1Rhz+7F7b/Jsz6sC0kFKR4jo4X14j4jz3HT3x0FJ3FW7kkhMm7PAY5TF66P3Qt6Mq8jxGJUO85A+PPccIrx3P60T0fFQRHkSEZjqx1+/3hWY7qY4rd3K4xnNWZLCX5zp4zhhsPF3z9T4tRQAoEYM8XEQzd6/2DYbNnkEzJzpQTDKYXVhsUvbm4N+BGX6yYXxzO8O5vj6lqLSid8P32C36WaiSQKe35X/zDtN6G0TJevVxp8tVxnIqez1bYHIw2wkzFjuDdyUTdCEdqEKvbUrtuD62tSqFzd9QPODKe4sdHCcMJhZNvzWa4ZnBoKh4VTmsTpoSQrNZNy2+buVgevZyD7agR9ot+AkFZrricA+93TRVQxzkd3tjBdn5W6xQ8Ukbemc3yz3EAUYsSIcX40zVhWGxi23YdvKRnW+iZzGgm5NNBge30ig+V2OTuc4pOFUGtPk+K0SuGM41RO5/uni6w1LXwfMprIB2eKA2UFt+sjCrE906AnDceVAjzOVOLLNCsXGbfnAI+bZjnMgk4qItfWm3x0u4Lnh518H5wpcm5k/7bpo2K/CHK2x+Dw5VKdn9/YGqhjd5wuQixG3XB5ZybPbDHBSt3kwmiaiZxOrWMTFwRiD/nO/Q6GuWKCju3x8d0KxGIkFREBuFduM57VBsPY/YipL3qZPqBTtA8/CBjJqLjdNGI8hi6naBjOoDU8n5DxuuHMW6VjUzPcgfEhCJXF3W4Q0mPpEpcmsthel0/na7wykubydD4ke47FUCXhAUmXvkNkOh66HGezZXFpMocqCXg+A8eomFS4u9UmqUpcnMjw8d0qV+sNVusWYlzAdEM9tzcmMrw6lqbctkMG/95YwFwpuec7zuoyk7mw5rS9Hb9qOMwVE9zcaIeRbF4fPNs3Kw18P2C6oFMxwuh0qqBzZjjFRi+LcJS1/6wbJ44rBXicqcSXaVYuMm6Piae1gR4nzXKYBb3VtunYHnOlBC3LQ5EEGobDVttm/JgW/krNZK1hhgrcSpyMGsrVuF4woHK6PJ1jKK3Q9QO+XKqTVERGsxqVtkPTciEIZ7lWagZX10KmCV2J76uivN/BcHEiQ8f2SGsSdcOlYbrEgGJMAQLenysixGI9DTmJpaqJ2/UP9HCrbZuO47FQNViqGsR7UjtTBZ264XJzo0nNdOlYHpcmsyFd13rA+6cKjGZUSmmFzZbNSFrl+lqTuWKCsyMpvl6p8+1Kk9lSgmrH4fxIikuTGW5ttGmYLvmEzPbgvO8QjWZUTg0Z6L2RAKfrM9Kry/U/98HpEltti7bdJZeUadmhXlurd49CDOarHd6eLhAXYnTs7kBnbb93/PlClYRcIqvLA6Jr6LfjZ/GDgHOjKS6OZ/l6pc43K018P+CLhTpvz+Y4O5zi1mYLy+3ywenikYVAT0LjxHGlAI8zlfgyzcq9tMbtOIzS42ygp+lVHrSgW6bL7c02S1UTXYkzlFIGnIoN033YpQ+NpukQi8VYrpp4fkCsFZIwzxR0cgmJOz1y4Zligk8XasxvdfB8n5W6yYfnhrg8neOzhSpLNZOpvI7rhbv9oE2+38FQ67iMZjVmCjo13cVwuihxAVUSSKkSYjzGdEEnrUphtNMNKPTe236otG3myx3iQoz/9YtV/uraBgEh9+P/6Xuz/PD8EKocZ7HSodgbNl6qGkyXEli+T06XkQQBy+syklJ5/3QRTYrj+wE31lrkEzIZVSIgNPA/u77F3a0WNcPjN3fK/N7ZIX50fmjHvGDNcKgaDrokYjgebbvLnc02KVWk6wc71uBMIcF4VmO1YWLYHklFQpEE/G6YCt1o2nTsLuW2xVhWG7yLvd6xKsfDxp1t72t7tmA8p2F7WfzeLJwQi2F6HkIcvlpqUEoqO0R493Ne9sNJaJw4rhTgcacST0I98mngpTRux+XVPeoGehZe5cPmym6st8L/3XHYagUD5v+ZYoKRtMqVpdpjG+GFqoEqClzaJs3SsjxGszqFhEw7E2qQtS2Pe1ttDKdLVg/11r5cqjPXm9MqppRBihB2bvLdDsNcMXEg1deFscwgom2YNuNZHa8b8L98scrZ4SSLFQOn63NhLMMro6nBszdNh0rHCYU4RYGxjEa5baMpIrfWW/zF1fVtg9Uh6e9MMUzNTeRClemvV+rc3uzw4bkSDcPlz79a57WJDN8/UySnyxRTCm7X54ueFE8+IROLxZDiAusNi9/dLTOc1nC7Pk2zy+eLVc4M72x4aZourhewadkDtnpVCtONu9fgYjGUwBnLaCzVDNYaJpN5naQqsloPORrTqsRr40MMp9UBX+eeXZGaxHThvmjpXiw1rufz6UItHIonTGVqUpxy2zlQhPcg5/AkNE70MyZrDZNiUt0zfXyU67wMqcTjxEtp3I7Lq3vUDXQSvMrt9/LVSp0z2/gj64bLeM7n7HCKL5fqrDWsxzbCGw2L9YYd0ngVEwMG+9PDoVxIXvfwvICrq026fmhgFTHOXEmh44Sdfj84O0TDdLmx3hoItPY3eXUPh2GtbvH6RGbPg2E71Vc/ohWFGLoU58+/WePUUNjM8vliHVUSmK90eH+uyO8pIobtcWW5wUKlE7LwJ2QqbYesLpGUReqms+Og7wYBCUVkoWLQMD1Mx8N0wzGDxWqHzVaasYzKaE5lsxkykmy2LK6uNnl1LMNIWuUbGnh+wHrDZDSrYns+bjcIme5TobRP19+59kKCY4+lmkEpqQzY6nUlTt1wH1iDaz2uxj6riCwKCLHYLn09E8vtUtz2++91+F4Yy/D6RIaq4ZDWpD1ZaKR4jI7T5fp6E1WKIwn39fAeJsJ7GOfwUaKd486mFJIKv3e2xEbTGlCQlYQYwcH/9IHrvCypxOPES2ncjsurO+oG2otNfbekytNGuWVjOj5rdWuH4XlnJo/vB6w2rGMxwsMZlabl4Xb9AXFwx+kii6G+2qfzNQzHI6HEWambDKVU5koKKVUio0lcGEtzZjhFtW2HA727NvnXK3W8IOBUKTkYYwh5FffmidxN9QXh4f5nX68hCCF/5W/uVBCEsGGj3Hb4crnGXCnBF4t1/uyb9R0t+m9P57CcLoWEzFQhMTjsgx7NlirFmc4n+GyxymLVQIjFaPRm9hJyOPw9ktawvS6LlQ6m2+VepYPpdHl9MstwRmW1HqZ0Hc/n/HCaesfB9nzalofheMiiQFoJ11PfAFxbazBfMQb1s7enc2R1ibVtv2sfxaTKQuW+4zWe0zDdLtdWm+QSMook7rkGHnb4juf0fSmv0prMxfEMTdPlXjlk1VelOK+MpR8qwnsY5/Co0c5udv+W7TJbTPKDs6WejNCjGZK9KMi2kz0fFi9LKvE48VIat+PKYR9lA/U3TzcIZ3WWqyYN1d3Bpv4s2nH772L7vNRUXmc8p/HtSmNPJ2C1ZpLRwjrZYT3cfC/ldK98P9rJJ+JMZLWBgrEiCpwdTvHhuSG+XKrTcTwymrTjneb3OWi6fkDgByw1jB4XYhilLNVMzo2kD3UwJOQ4oxmNluWx1Q6ZMX5yYYSUKiEIYSry7laHzxerWG4XKS4M9L+m8jqjGZWO7TFb0PmHb47zy5tbNCyPQkLmVDHB2ZEkKw2TK0sNkopIShH57qkiihjn9la7xzXpcHY4xZ2tDgtlg4bhUkzJ/P75YXzfp2a62K7PSEalZbv8b1+v0TBcMrrE+dE0ghCj2lM5v1fpoEgiU3mdhuWyUjcGJMX9rk/L9XekK5uWSxCE3IhjGZUrSw222jYB4TiCJot7OmKHmenaLzI6qgjvYZzTo0Y7fYNp2B6LVaMncGuGoqsZjXMjjzafdpKyNC8bXkrjdlw57KNsoP4i7x/glyazfLlUp2G5Azb1Z5FD3/4u+vNSs8UECTm+pxNgux7EYnyxWGehYhwqVdmPzK6tNaiZLtfXm7w1lefHrwyR1mTKrSpBEB602yPIsNa1vwL19utfWarzF99uDOa5+tFUKX34AyStybw7m6eUUjAdjx+dG2KtYbLaMJnKJ3h7ukDdcAiCGI4XGjcIeSRX6iavjKbYatn4QcAPzw3x9kye+XKHrC4xV0wwltN5d6ZLKalQbtuMZjSCIOCvr2/SDQLiAkwXEkxkNf7smzUCINtTMAg9/6BHk6XgdrtcmgwbMizPZyKnUUwq3FhvIcZj+H4wOFD7TPUQGijL9am2HSptG10ROTucYr1hkdNlSkKM5apBRg+Z9U2ny62NNrWOg9v1mSkkSCjikVOFB/39UQ76U0NJmpbHRvO+4vVezuFRrts3mA3LpWaETVRdP2CrZaNJcZZqRjQ0/ZzhpTRux5nDPuwG6i/yRz3AnxT2exdpTWYyFzzgBIxmdVRRYL7cAQ7niQ4MuyQy0pvzqm8bM0irEpstk7bVZb1pstlSmCkmeWcyjy7H+Xq5TjbxcMdhrW6SUkXqhjsYI7g4nmG2kDhULWX7Z0bSKsWEzr/6dIk//mIZtxsQj8X4J+9M8fcujVJKypTb4ZxaQDjTNlcM6a/WmzbVjsPv7lV5YzLH2zM5RjLa4DvKbRvX9zk9lCStSphul8szOaR4DE2Ko4ghd+SZoRS3N9tcnMjyyXzY0DOSUdlqWUwVEvzo/BDX1kJWkdmCTkCML5dqbLRsZFHgwmga2/UGc3UQqo1ne1pu873UZ8tymS4k+MHZEkNJBR+omy4LlQ5/8sUKf/jmOD9+ZZivVxusNSwKSZnXxjMPOGJNy8ULAmRRwHIflKPZL4Lpz1H23/1wRmU6v7e6etN0WKgaLFYMNCnk3FytW1Q69mM7h31HzrDvM/n35w4t139kY/QyDU2fNLyUxg2efg57+yLfrvD7/szDaYSeBvZ7F3sZPoBvlpvYnj/43KO245fbDi3TRRBi5BMKC5U6W61QgmY8q9OyXP7q2gam6z80Qiy3bNRe+i3Ta+vX5ThBEEYvBzUf7I4qFCnOasPi43sVcrpMx+4ixWP87MYGr09k+MG5IWzPx+76WG6X18YyvDKaZr7S5pP5Kp8v1EipEtdWW2y1h/nbr44Qgz1rYN+ZzTOV03ltPM1qw+Ivr26QVCQuT+d4bzZPuePQslwmchqaLCIKMaodm5blcXE8w599vcZC1cR0wnRay/L4zmwsHITX5cHguBCDi+OhaOrH8xWapjeYNTSdLqbbJdd7H+dGkgRBwE9eHUGT4nz/bDjMXzNcXp/IcHk6t+PdLdUMvl1pDrISa3WLrbYdUmi5/mDU5M5me8d8oyzu7NosJBWE3riIHwScHkqSVEJF7I2GHYrOEo5xLNc6jGZ1Lk1mQpLiXoPQo6KfwVhvmmy1QNg2vH9rozVgf3nU60adjk8fL61xe1qo9OofELY6r9UNFEl8bmiEdhu+u1stcgkJrcd6Ybl7d7Rtx8O8142WxY31Fm9N5Tg3lAIh7JQbTqss1QzMXtppdyTQP1R9P0CMh6S/29NvQgzGctqA0d6wPRqWi2GH0eFIWh081+6oQpfiXF1tYnshQ4gQi2G5Pg0zNCB/9/VR5PgYTdujmAxFTxcrBgsVk2urDabyOk7Xx3A9fne3wtmhJLmEvGcNLCDP+dEUuiKR0/0Bk3zTcnlrOjdgMVF6Ujr9Z/T8gLlicjDK0LDC5pQ3JrNkNIlbm23ODacQhBieHwwi8v/923XubHYIYDBrOJXXdzgnfsBgls7t+thugB8EjGYU5kqJPZ2C1YbJctXk0mSWy9M5mpZLXAiv//VKI/x8x2G13iWlSgxnQnq3atsZpOtHMyqfLNT4aqnOhbE0UjzGN73mq47TJa2KXBzP8MpYmqblUu9Rcl0czx64jg+K3sNh9iIjaZUb6y00JU5Ol1lv7JzpOyqiTsdnh8i4PUFs3/yFhMJkTmMopRAEAWM57Zkv8v02/MP+vNxyaFseGV3icj7HYqWDLMYfuvkf5r1+vVxns2UjxUOOyErb4eZGi2rHYSSjUkoqbLVD0uRwFs3d8V5lUeDccOqBKGX79bc3CSQUkeG0iul2MWwPXREfiCwNp8tETsMPAuKCgCqF4qRqIDBdSJBSRd6dKww+3zQddFmkboT6autNi/WmhRIX6Nge82UDQYjtWQPz/GCQgtvrIJSFGGI8hhy/T2bteCFTSkqTBp+/utrknek8uYQ8iJzKbZv35gq8NR2ye9wtt8P2/p64aQDUDZdcwt0xK/jJvSqfLdS4W+6w2bJ5b7bAu7N54kKMnH7fidnuFGRUiYbqDmYSRzIqI2mVhuEORk0ujmf42Y1NNls2qigw1mOeMWyPyVyaWsfhymINIRbrOTcm/+K3C5wZTlHp2MRiMUyny2Q+XE/X11uHShfuV++7PJ2jajhsNKzBOn93rsAro2k2WhbLNZNXxx+/ZBB1Oj4bRMbtCWL75t+einxzKvvMU5F7bfizwylen8jw6Xxtz4Pgy6U6Xy3XKbcd2rbHm1M5fvzKUMi2oe8fuT3Me80mZHQ5JCP+2Y1QkNT3A0azKqeHkpwfCb30/szTeFbb8V4t12e1bu0ZpRSSCtPFBLe32tzZ6jBd0Hl9IovheNyrhEwir4ymmcyHrPj9yPLWZovL0zl++uoIn9yrAgKaFOeDM0UujKYeYMFPazKTeZ83p7LcXG9RbtsocQFdCY2YrsQRhdihai+7D8KVmsFGy2a+N1PXf86+M9H/fEIW+eWtrUGUpMlxhBgIwv1rm7bHXDHJe3N5fns3VBsQhBizxeTgen0atKwuc25YYDit0jAdcrrE2zO5HbUw3w84vW30AsKGDKfr8/5MgWJC4Xf3KoNRk9fG0+QTMlttmwujaeZKCW6stWjZLooosFQNJYlSaph+na90aNkeHcdDjgvc2WqTT8isNSxeH89wc6N1qNrVXvW+q6sNxLiA5Xb3bIwKyaePj1f1MHjWXJgvGiLjdkzYvTBPFZMPRAS257NQMUhr0jM3bntteNPtcmuzvWfhP61JNEyX+UoYAQXA39zcYiqvU0odvAH3814nczrGeJfVhsmVxRpBEKaycrrM9bUmw2mV4bQ66OIcTqnMlys73mvfcdgepVTbNh/frbDWNMnqMj+5MIQmiXx0p8x8xWA4rfDlUp0f9qi9zg4nubnRxg+gZXm43YB//81x3pjM7lDC3o9ns5hSuTSR5c5Wh9WmhSIKlBIKb83kGE6riIJw5NrLw7pMt7/LatvGdEKVgY2GRcv2yCckPjhdYmZbQ83tzTZKXOAHZ0u8MpLm9labUkrh4nhmcL3+mlWlOKoUH/y5DzsM234D4pWOzYWx9GB9bx81+XqlTkqVSKoixYTMnc0OuiIyWwwVwkspBVGIkdFEmpZLPqEgx2Poskit4wAxLLdLTpdwfR9NjqNJcapt+6FzaHvVfGu9ppn++3/WLfongQvzRUNk3I4Bey1Mw+6SVqUT2ym114aX4wIrdbN3uO3Udiu3bbpBMGiThjCltlDpcH40tWd322FQSCpcHBdYbZgUUwq6fL/hQOyR+54ZTnJqKDQEKU3as4bndv1BlFJp2/zVtQ1+fmMLWQz5It+ZKaBt01hrWx6ltDI40L53ushoVnsgspwqPLyRYLtTM5nX+emFYWaLIblxRgsZS2qGQ3EouW/0up/HflCXaR8rjZA1ZKZ3rxutUEZnppjAdLp8fK86GE5eroWK5h+cKXKqlCCpSKESQQ+H6e572IB4ISntMNjbU9LE4Npak0uTWVw/4F65Q0aT+MHZEk5Pzuenr46w0TSpGQ7T+QT/weVJ5ssdKh0bTRL4/ukSEzmdoDew/+l8jZQqPtQI7PVMltMdsKD08Sxb9KN5uONHZNyOAXstzK9X6nx4bujEdkrtteGdrs94ViMGDKdVan1tt3TomV9bbey4Rl/nrNZxmS0++r1s1x/bfj8JReT0UJLXJ7I7Pr9beNTxdgqWLtUMvliqYXkhA4rvQ6Vl07ZDWZlK2yGlimRUaXCgvTGZ443Joxno3U7Nt6tNzgwleXU8w5dLdb5cqrNQ7ZBSJFqninx4rvQAu33TdPjd3Sq3Nls71sgPzw0dekbK9XwWqwZ//u06M4UEuhxnoxlGSn2mkyAIa30TOY2ttkXdcJkrJcnp8o6o5zDdfduN7u4B8e+dLpLW5IHBtpwu50ZSjKTVgT6eIgqs1i3crk+qJ1Dav4fJnB6mRmsmSUXk/GiKb1eaTBZ0zo+keX08gy7HubbW5F7ZGDheDzMCez3TW9N58gmZ6z2OUni2judJmYd7GqnRp5V+jYxbD4/zwvdamIbjUzPcE9sptdeGD2eHwvbrv76+yZVe/SufkOl2A6aKCTKaSMP0BoPS+YSMJD5MUe3R72cvR2Av4VFNilPclvYMKcW6JBWR5VoY1QylFE6lk4hCjNGMSj4hPzYzzF5OjeX5LFQ61AybiZzGaCZktv/FzU3ySZm3p3PYnj9Ya2JPiaCQUAbt8/fKHS6MWfsO0YtCjM8XqoPa23Ba5Xf3qrQsb1BziwEzxdFBJN5Hv5lFEGJ71pQO0923fb3v1Ryz2+hrksDrE1k+OF0kIGChauADr02EzRrbjWs/ff3GZI6m6XB7s81sMcGliQz5pIIowNfLTW5u3hdy3W0Edu/lmcKDFGylpMKtzTZu9/4Q+LN0PE/CPNzTSI0+zfRrZNx4/Be+38JUJeHEdko97BBbqprUDJtCUh6kCdebFlMFnf/zB3N8vlij2KPQEnozRk/yfvro/05fr9SpdBwCP+DyTH6HzAuEv0dWl1ipW6w3TALg13fKfHC2yKvjGVZqxsCwPc6B5vshlVqfJQPCw0iKCyRkibWmRVKOc34kzZXlOve22gynFL5eaQzIqOfLbcZz+qB93vbCAeiVuslrYztJn23XI63J+H7Ab+9WwwHuYoJ3Z/OcGUryq1tlVCnObDHBUEphLKMhiwLlln2kQ/OgNXvQQbzb6JuuzyfzVXQlzhuTOS6Oy/vyTW5HWpN5azq/48+urja4vdXe8We7lSH2UjvYSxNOleJkdelEOJ4nYR7uaaRGn2b6NTJuPP4LPwkL81Gw3yHWtFyGUhrbHXs/gI7T5btzeUrpMBXZl405yqJ8WIR80KHaVzC4ttZkqTfoe2W5QT4hI8ZjrDUsGobDSEbjldEMW02HgDB9enY4TcvyOFVMMFNIIAixRzrQtt+/GBcGLBlbbRtVElClOFeW6vzixhZ106Flebw/Fx6sM/mQR/OLpRpDqdAhUOX4oH1+OK32SJUho0kPGHxRCGm1VuvWoFbUX6dvTmZJ/Og0ghCjZbrMlzs43ZAJxesxthzX2jxovT/JFNtwWn3gu88Op5grhvXGmuGw1ryf3t6+l3c3nZwkx/MkzMM9jdTo00y/RsaNx3/hx70wn3VL8MM8c12RmFWkR6qxPW6EXG7ZlNsOixVjIBsSAzabNl8tN7jaa+cfSlmcG0kxltE4P5oipUkUEjILlQ5eN+DHF4Yfqc179/3brkdGlzk3nBqQTlc7DhtNi5Qqhk04fsBv71W4PJ1jJKvx9WqTtt0dOA79+bCq4fD6ePYBza/tB/DnC1V+fmOTjZa9Q83cdv1wEA/4ermBFI+FKgI1A8fze4wiMhtN+1gOzYPW+6OoZRx2vfeHrfvfPZnTSCoid8sdyq0qfhBwZug+Swo8ey7Hwz7fsza2TyM1+jTTr5Fx43he+HEtzJPQEnxQw8aj4nEj5GJKwbC8HXpYhV56tG44O+RuPp2v8uG5IX56YYRve5FeP42Xe8hM3lHuX5FEGoaDIMR4b65ALiFxdbVJUpGYysdQpDjllo0ux/H8UJqmkJRJKvHBNTU5JM1+ZTSNGI9hut19Nb+8bsDtzQ7VjjNgGJnMaaRUkV/dKvPbe2XubhmDeujl6Ry3NlpMFfReOvCRHntPPGy9HxTZ9Q/7fpR9kGbgXsahn2LcvV82Wyb5hMJbU7kd85HPqlHkJOznw+JpZKCeZpbrhTFujxPt7PXCx7IamhTn59c3Hkrae9x41i3Bh2nYeFQ8boQcMkjkubUVNgLEhRjfPxN68dfXm2Fn5za5m+W6yXdm8phed0/BzOO4f0UKqbD683WNHo+iJouMZmLI8Rhtq4sqxlmsdpgpJAgCWK2bg7U2V0qiSSFBdFoLh5w9P+D8CDtSaRldYraUoG66gwHsd2bzVDohhVXbCkl/+zI8c8UEpZT61KOWh0V22w/7iZzOVtvh5zc2mcjpAzmd3TRrDzMOu/dLSpG4t9UJZyK3zUc+6RLBQeMcz0OL/9NIjT7N9OsLYdwe1zva/cLTSthN9ul8jc2W/VS9rWfZEvykvczHjZALSYW//doIEzmdhR7R7tnhJNfWmvzrz5aJC8IDcjcpTXqgkeBx77+zjacyqcZJK/epuLY7SooYp5CQeW1cZ24oQbzX3ThbTIQHYW9za1KcO5ttpgoJap0w7Wq6XQrJnW36tY7DW1M5Zgv3lczPjaS4utYiCAiJhVshL2TXD9hq20zl9WcStewX2W0/7PusJNWOS0pz9xTurRkO8XiMiZw+4DLdbhx275f+uAPsnI98kvt2v31zlHGOk4KnkRp9WunXF8K4HYd3tP2F395s8RdXNwZdcE/T23qWLcFLNYOraw3qpjuo6ZiOd2zPfRwpiYQsMl3QSaoiBV2mbro9GiaFrZZN2+7y8xubnBtJ8Xo6s+c1HjXKn8zpjGU1fnZ9k2onTEdOFbIkVJHVmsFm294x19UnVt7r+tv//69ubqJIcT5dqPHlUn2g8F3tODsiZlUOm1VKKZXhlELFcPjdvQrThSSLlTYZVSKrS9SNUGmhlFLI6fIza2za6z1bTnewT20vZCURhBiGc19qpr/eQ3HYNkuVnRF5y3bxew2qM8UEd7baGM79jtX95iOfFJZqBmtNk4mcPiA9WGuYbLT2Huc4KUQOLzpeCON23N7RfLmzo737ca93FDzLzsuVmsnCNnqtWAsausRqzTxS9LOf8XjclMRuD/nscJJK20aKxxnLaghCjIbhostxOrbHRjMk291rnOBRotNCUuH1iQyxGGy1wsiplFZomi6fzFdpGO6Oua7vzORJaQerPoxkNa4s1bmyWLvf5ecH3Cu3d4hkTuZ0FrMGV1fvM4N8Zy7PUEompYb0aFN5nVzCZbaY5OJ4ZseA9HHiIAdhv/d8biSFJgmYPQXws8Mp3pzKUu2EzR/9z5WSCr+6VeaXt7e4t2UMJGh+cLaE5XZpWi5/eXWdtCpxeTrPvXIHIRZ7oCHnacB2u5wZSt0nPUgpnB5KUTddZguJ57KT+kXAC2Hcjts7epbe1rNsCU4oIs1tDRsBIc+irhx+mRxGcflRn2V3hG65Proi0rQcpLiA1w1IaxIEoIpxbmy0cH1/x/c9bpS/VjeJEaYXbc+nYbg4ns8XizVmCiGf4va5rrliotfJt3+UOJxSMWxvcE8xQn7NlCLtcKj6ayOtSWT0JqWkQi4hs1w1ObsPcfTj4GHqEAc5CPtFMyNpldcnsnwyX8VyfdYbFj88N4TvBzsi3arhcHOzTUq5H43e3mzz4bkStzbblFvWQAHiwmiat6ay3C0bNExn34acg57rUZHVZX5xc5Ur26LuN6ey/OGlsRPR4v+y4oUwbscd7TzrubVn1RKc1SXemMzu2KSXJrNk9cNrzj3JAvruCL3v+c8Wk8yX2zRMd1Bzy+gSN9ZbobF7yDX693jYqDybkPlyuTFwfM4MJXszbvEdn/MDWK2ZOJ7Pb+5UHholpjSJ8yNprq2HYwL9wfmEIu6pGpDTJd6czAEBmy17wEKynTj6cbGfAfvwXOmB31gWBTw/oGm5g+faL5pxeh2rbTvUn5vK6ZwZShKLhXpvtY7DasOk6wcUEwpbAQMR2smczlbLptqxBwrjshjWWX95uzyInFdqJutNa89o/EnUlRuGy3y5jd9bFL4fcG+rQ6PHw3oc+/lZjwc9j3ghjNtxe0dP29s6KQtXk+K8PZ1jrni/YSGfCBseDosnWUDfHVH3Pf8fnC1xYTTNNysNir1oZq3HXbjbODxuVL7b8XG6PjOFBA1j5/MJMdAVkaXa3gPFu3/fU0NJ3p8rHsqhUqU419dbrNZNcroc8kU2rR3yNo+L/ZyUixOZHb9xKaUwmgl5SD+6UwlTozmd6UKC396tcnOjxZ2tDqbb5fWJDD+9MMLXK3U6tj9YVx3b45NdMktZXWYyp9G0XEAcjEyYbhcpfn89DqXC2cLtkfPD3vOTcL6alstETiel3VeBz6gSTdt7pOvtxvM0TnCS8EIYNzj+aOdpRU8naeEWkwp3t9oDzkKn62N7XYpHuI8nmdLdK6LuE++OZkIFg6WayY311mCmbbdx2C8q3y4N8zAnY7fjM5xWyOsybtd/4JpZPZx72479DP1hHapK2+aLxRr/9qt15isdYjH47qkif/DaCEP7SA89ivO0n5NS67iD31juqWd/2lPPnsiHpNteN8B0utzdalNIKkwXEny1XOfWepvLUzaOF7BYNVAlgbQmca/yoMFZqxsMpcIo9cpyHcvp8upYqAe3nWA7/M2NPSPnvd7zfs+1WjPJaBJ3NtsDPsquHxzqvRVTCgnlPscmHG8Z43kaJzhJeGGM2/OKk7RwC0mFd2cL4YCt6TKe1RhOqTuaIg46KJ9kSnc/A9BvmJgrJZFE4aEzbXtdYyqn0/WDQzsZezk+qhR/4L7KbXtAzNvHww69wzhUSzWDq6tNcgkJVUphOF3qHQfHCyVjduNRnaf9nJQ+5dpsMYHnB9Q6Dl8u1khrEiOpUHvvr69vslwL5+7KHZs3JnN8cKbI5ws1tto254ZT6LKIJMYQhRjX1pqsNcyB1BH05wd9zo2kaZguxaSCKgkkFJGxrDaYE3xY5LzXew5llQSKyftyTkvVDsRifLFYZ6FioMth/fbuVvuhw+V9POkyxvM2TnBSEBm3Z4yTtnD7B2zfiM2XKwMjFhdiBx6Ux5HSfVT+ycNG23t97spS7bGcjP2++7gPvXLLpma4NEyXQkIm14saF6oGwxmVyfz99+f7AU3L4+paA1W6P0N2mOfa78Duc4l+73SRpuXy0Z0KkwWdjCoN5vS+WKyRVEVUKY4midzebPP6eIaZok5Gk1hrWMiigOMG3N5oo0gCy1WThhp2e/ZJrTOaRMfxmOg173yz0iSjhYrgZ4aTB0bOe73nmUICrxswX+kM5JzemS0gCTE+XagBUEyqzFd2coA+7L096TJGNE7waIiM2zPGSVy4D2vjXm0cXEN6nJTus0rTPgkn40kcesVeqi4Wg7btYThdUorIdF4nn9gpN3OqlGSpZrBcM5nM6yhi/NDPddC993/jhukOVAf6Q9lBwEArL0Y4UL7RtJgrJTGcLr+8tYXldMkmZL57qkBCjnNpMsuXS3UalktCCetraU3io9uVHYKimy2btYbFh+eGdtzvXpHzXu+564cR2RdLNdp2l2QtzvmRDGeGkoPP9J9jOwfoQe/tSZYxnnWD2/OKyLg9Y5zEhbtfqrSvzr1YNQafPe4o8yBGikfBYWpOe6Wrym3rsZ2Moxx6h7nPyZzOq2MZ/s1Xq8xXjEHNTRYFpHiM1YY5+O1sLxSfvbHeDNNrfoCuxMn10rbHce/b16/t+ZTSYRNSPhFeXxJjWG6XsyNpigmZzxarZDSJpuVyda3BG5NZdFnkcq+Ryen6XBhLPzStu1f37mHf81LNYLVh7VC9uLnRJKHEB6oM/edI1nbW8Z6V0xmNEzwaIuP2jHESF+5+UUzT8h7onDzODV9p23syUmy17Yca0IcZhcNGgnulqy5P55kpJI7luQ4yWoe9z0JS4Y2pLMRCfspcQqaQkFmudhjPaSTkOJM9x6BhOqEaQUbjb25ukVIlxE6MmTPhkPRxYPv6bZguI2l1B3dmPwqbzGn8+naZltUlq8tYXhfD7lIzHJKKyGLVYCSj8v5Mgdni/SjqSaR1d6/thCxi2l3yvXVcbltcns4/wAH6LJ3OZzUe9DwjMm4nAI+ycJ/k+MB+qdKpnI7nB4O/e9iGP+r99Q/3394r72CkuDydo227D5VLOQqxrh+EgpdpTSKthhyiUzmdAB5IVwVBeK3HwWGN1lEai9bqJqIgcGYohe35mE6XkazO3a0OpusREHB2OEUQhHJAU3md//g7U7QsbzDe0T6mNnV4cP0We+99d3PN9u/MqBL5hEwppWB7Pm7XRxRipFVpx3WfRFp399pOKCLnRlLkkzKKFKeYlJnpMYvsfo7IwDw/iIzbc4gnXZfaL1V6aihJjJCg96B29aPeX/9w385IcWWpzlwpwesT2R0G9CgNE7s9ddPxWKwaZPUmEzmdlbqBdFrAdLoPpKtW6+YO+qvtaJrOYOhYEoV9RVsPa7SOUvPbPkiuSgJnh1N8tlCjZthkNJnFisFsKcGPzg/x5VKdb1YavD2dH7CqXF9v4QPnRtJ7/haPi8M01yQUkR+eH+LieIa1hrUvwfFe1zoM9dd+f/+wtV1IKg/o/EXG7PlFZNyeQzzp8YGDPOaDuAoPw2CxG/3DXZPFASNFn0z34nhmMI6wV8PEQsUYdNn130ffKOz21BtWyIwRtpbHOT0UCo3e2Gg90I6+n3FZqRl8udxgodIZREKVtsPF8cwDz3dYo3WUxqLtB/RQSqVmOMyX2z2qqzgTOY1qx6ZleVyezrHZtNho2Wy07Ide91HxKPOB29fUUYzsQY7TYejfTloZIMKTQWTcnkMc9sB8nNTl4+T4D2Kw2K+ho3+4a7I4aAc/PZTcMWe33XDank8pqdCyQgmavlHafnjv9tQtp8sbk1lKaYXAh9/NV+l2fcZy2p7t6LuNQKVt8xfXNvh3324MKMr6EjurDfOhz9XHXtc9SmNR/4CeLSVIyCIbTYsPTpdoWC6W6w/en+cHzBWTXBjLPFbd6jhqmv37flwjcpBjdxjH76j3cVIYhCIcDZFxew5xmAPzabXU77XxJ/M6d7bajGY1ZgsJvl1r8rNrm2QTEuWWved9HPZw7xtO0/H4ZrXOxfEs50ZSbDYtSD/473Z76m9OZfH9ANcLqBsOVxZrJGSRixOZPdvRd3//Us3gi4XaYGB6uzBoQolzr9wesFxM5nRmCgkWi8aBz3XUiKL/50s1g5W6iSwJnM3cb8Dpr4eUJh2rEsNhappPkoTgIMfuuEc6jnMfrdQMbm22WamZjOc0zgwlGY/a+Z8YIuP2HOIwhuBpHDr7bfz35vK8M5NnrWHx2UINPwj4J+9MEgQBddNjrfFgLeuwh3sxpWC7Yd2sbrh07C5vTuZ4dzZPAIxm1Af+3XZPvWk6/Pp2GT8IZWuCAMR4jI2mtWc7+l5pRlWOE4MB8/z2Oa4+y8X2Q/CDQxqXo44N9N99x/ZYrpnMlhK8NRU24IxltR0Gfq/r7uWYxIUY85VQxWCmmKDadnaso47t8Zu7ZVRJ4OJElpWaeSzG5LDR0UGO3XHPjR7XPlqpGfwvV1b46HYFzw8QhRgfnCnyh5fGIgP3hBAZt2eIR013HMYQPA3mk702/lrDpGa43C13+HalwUbLJgZ0nC6vj2UQhRinh1IP6OX1n+swc1XDaY1vVhtMF3RyCRm5RwmV0SWmD2jdT2sy784WqBmhTM5iLWxiaVldbqy39mxH345iSiGnSTR6TS8BIAoxJvI6MWC9YQ3eRf8QfGMyd+yaatvffV99utqx6foBP74wTE6XD9Wdut0xGcuGtFqfzlcxXR/b86m0bQzbQ5PFQTNO3XCZyndIazJCLIbtegOWfni4MdnPoB42OjrIsTvuudHj2ke3Ntv86lZ5YHS9Ht3bK6PpyLg9IUTG7RnhcdMdBxmCp8F8stfGLyZVFiohK0Zak3G7AdfXW3yzuowcF0JxUVHgDy+NPdJ3qqLAm1NZTpUSrDYsmqaLKsVpWA6G2z3QuMH9d5fTZSy3OzgI92pH343JnM6FsQwANd3Fcru8NZXn/EiKL5caO9g0niSN2krNZK1hDhTTM6rEUCoUbN3d8bcX9nJMPl+sEotBqTeo39fLa9lhPbNhudSMUFaolFTYbFkkZZHRrE7dcA41HvI4zDdwOOaUR0nD7udoHtc+2k723IfnB6zWzSNdJ8LhERm3Z4QnnTZ8Gswne218VRJoWu42QdEudcPB6/pstW0SUpxbm+2B1tVRsdGyQq/3dpmvVxpYrk/Lcvm9cyX+yduTR7rWoxyE+/2bquGw1th5UB10CD5q5N40HWKxGMtVE88PiLVC1o6Zgn7oQ3e7Y9JnnkmrIrIooMRD7ZztenmmEw5d9xtocgk51MtTJS5Nhsb+oHd4XMw3Bzl2j9Iwsp+jOXVM+2g8pyEKoZhsH6IQYyyrHek6EQ6PyLg9IzzptOHTaHney4DmdJmSEBt4qrbnk9YkdCVsUXe7PhM57ZG1rlqWR7XjcGWpzmrDIggCYrEYdzYeNJiHbVE/6js5zBzXQYfg40TuC1UDVRS4tE1YtmV5jGb1Qx+6fcekkLzfzdqyXUZiKrmETCmpsNW2B0rZsVhYo3S7PgGwVDHDtGXHJi7EuDiePfA7nxXzzUF4mKP5xmTuWPbRmaEkH5wp8qtb5R01t+2clhGOF5Fxe0Z4GmnDJ03Zs5cB7bN9rDct7pU76EocTYpzabLAZE7nxnprT4XpwyKtSXy2UGMko5LRpFAcUokznFJ3GMynTcD8MGdit5Gd6zFfPGrkvtGwWG/YgwaYvrDs6eHkoZ9tMqdzdjiFIgp80tNj0+U4a3WL4bTKpcksbdsdUHpttm3qhossCohCDNipFHAYHAfzzZPAQY7mceyj8ZzOH14a45XRNKt1k7Fs1C35pBEZt2eEk0iY/CjYb+P3D/rVmkksFkMRBVZ76thHec7thmE4ozKaVhnNaPz8+haqHCejSahSnKQS0iY1TYfNVshR+dt7ZVJKOJT9qGnfo6QO92PT2G1kXc9n8zEi92JK4dvVJk3LZTitDoRl4z2jcxiExrjA54t1VusGE3mNjCoRi8XYalt0/YCfvjqMIsZ3qGTbbhghXprMEBdi+zKz7IXHZb55UnhayhzjOT0yZk8RkXF7RnjRmRL6B/0bkzmapsNC1cAHXpvYu8V+L+w2DN+uNrk8nePVsTS/f2GYzxerqFLIcn9hLEMpqfCrW2XEeAzL9RlKqsR6573hhIPeV1dDTbC0Kh2qyeAo0d9ehrDcth+I0JZqJvmE/MgH6nYjsVg1Doyg9jPQaU3G6/rMFHamxlQpbEyZK6Ue0LlTJJF6Txj0MKnI7Xhc5psnhRfF0YywE5Fxe4Z40mnDk4K0JnNxXObi+NH+3V6pu88WagxnVP7u66Ncmsw8QM5bM13ODCXZatmYbpdSSmEsq/HFYo3lqsk703m+WKwjCrEDU5RHSR3uZwinCjpyXNjRRRnOxCUe+UA9imN0kIE+KGo57trwSVzzL7qj+bIiMm4RTiz2O1gXKgZnhlIPHD7frNQZSav8zc0tlmsGyzWLluXynbkC50fSpDVp0OXndv0DU5RHOdj3M4RpTWIkE45H9OF4PpoUf6wD9bBG4iADfVDUchLFdJ8ETqLRjfB4iIxbhMfCs5De2e9gHc/pXFmq89lCDVWKM5ZV6foKK1WD78zmOT9S4upqcxBFHRR9HOX7+4aw39beFzx1vS6TOY2lqrHDeBR7h+mTPlAP0yzxMCP7sqbsIj7J5x+RcYvwyHhW0jv7HazDKRXD9ggCMJwujuczXdDJJ2TK7bBlfat9eGb8o3x/MaUwnFYYTodt9X3B06lCgvGshiQKJ7ZZ4mFG9mVM2T3tTtsITwaRcYvwyHjW0ju7kdIkzo+kubbepG130eU4SSVk9x9KqQMJncNGH0f5/qmcjtcN+Ovrm1xZquP7AfmETBCE4p1vTOYe+308Cg4y0E9qFvB5xtMig46iwyeLyLhFeGQ8Df7Kox6sp4aSvD9XfOAwf30iQ9VwSGvSkaKPw35/Pqlwe7NNzbApJGV0OaTEepjg6dPAQfN3z0I5YiqnP7POyMPgaazrKDp88oiMW4RHxklsNnjYYT6e04/csXkUNC13h5I37H8oPk2vfT8DfdgI5XHudfchPpxW8LoBtzfbNC33REYsT2NdP22poJcRkXGL8Mg4qc0Gj5JGOw5jc9hD8aR47YeJUHZL67Rsl9likh+cLYUq5Afc7/ZDXJUEhtMqf319k5phh0TPJzBieRrr+mlEhy87IuMW4ZHxojQbHJexOeyheFK89r4xlsX7HZ5O12c4ff8e+vdq2PflbhYq4RD6WEbj3AgPvefth/hQKmy2+WKxRjGlMJQ6mRHL01jXJzHr8aIhMm4RHgsvQrPBcRmbwx6KT8prP2r0OZnTuTQZKpNXOw5LNYOZQoK8fv+A7d9rX+4GQnHWrZaNJsUPrCduP8QVUWCpahAEoMv3iZJPYsTypNf1Sc16vEiIjFuElx7HaWwOcyg+Ca/9YdFnDFjcw+gVkgpnhpL8xbUNvlgMZwMbhoPb9VGl+A4GE8PuDr6rr+dmuf6B72j7IW57PqW0Qj4hk9mmmfcyRiwvStbjJCMybhFeejztFNGT8Nr3iz5H0iqeH/DJfHXPlOtWj+1/O7/k1dVGyOaiS2hSKFW03jTZaoGwTc/t1kaLU0MPF4fdfog3TJeRtEoQwGrdfOkjlhch63GSERm3CMeC53lm52mniJ6E175f9LlYM0ipIhM5fcCasta4P56w+9+ZTlhby+pNJnKhQXplNM1YVuP2RhtNiZPTZdYbFmNZ7dBcmNufrZhUwrUSRSyPjOd5vz0tRMYtwmPjpHT/PSoKSYUPnnKK6Li99v2iz/GsSlwQaJlGyJqSUjg9lBooQu/+dw3LpWl5FJMKdk+ap2VV+Duvj/LaWIaNlsVyzeTV8cOrO+xGFLE8Hp73/fa0EBm3CI+Nk9L9tx0HebZ7/f2zYhE5DuwVfZ4dTjGUUvmfv1jh88VQsTsuxHhvrsDfuTjC1bUGAFldZq1uoEgiltMdpB1vrLcAMF2fGxttfvzKMClN4vT2Qb4ITx0ncb+dRETGLcJj46TN7Bzk2b6Inu9eqc65YoIb6y3ubrXxe6GZEIOVmsG19RaO52PYIbHzUEqBGLw5FXZPrtatAcH0y9jwcZJx0vbbSUVk3CI8Nk7azM5Bnu2L6vnule5rmC4TOZ2U5mI4XbKahOl0WaoaTOZ0FtoGTctlJKNyeTpHTpf49e0ylc59gumXteHjpOKk7beTisi4RXhsnLSZnYM825fJ8y2mFBKKiCaLAzmehulwupSkYXoA2J7PQsUgrUn8+JVh3p0tMJrVooaPE4qTtt9OKiLjFuGxcdJmdg7ybF8mz7d/ELZtL5TjMRz8IDRoKVWk1BsH2P78UcPHycbj7LeXqcsyMm4RjgUn6UA8yLN9Xj3fRzmY+p2gW22bn9/YYr7SRpNEvl1tMJbVeGsqR9t2D93WH+Fk4FH5U1+0WvPDEBm3CC8cDvJsT1qkeRg8zsGUTyos1gxMt8tQSgNAFGJUOzZdP+DHF4bJ6fKJfv4Ij48Xtda8HyLjFuFYcVLSHts926bpsFA1BoS92+mnnhc8rjzN7jqjJod1OEGInejW/pOynl4EvEy1ZoiMW4RjxElMexz1nk7qYXpUeZrtz/rhudJzWWc8ievpecbzuAYeB5Fxi3BsOIlpj6Pc00k+TA9zMDUtFy8IkEUBy/UHzzpbSjyROuOTdgRO4np6nvG81pofFZFxi3BsKLdslG3aYCF9k/VM0x5HScWc5MN0v4NpppAYGJlvV5ooosDZ4RRrdYutto0fwEbT5uJ49ljrjE/DEXjZ0mhPGs9jrflxEBm3CMeGybyOEIuF2mA9HsNzwynGc9ojXe9pqmPDyT5M9zqYpnI6XT/gV7fKrDdNBCFGud2lGwRMFjSalovb9Z9Ii/+dzTa/vVembXXRlTgZVTp2R+BlS6M9DTxvtebHQWTcIhwbkorItfUmH92u4PkBohDjgzNFzo0cvWHhaatjw8k/TPc6mK4s1Wg7HqeHUmy1bGodh6bpMltIcG4kRcf2jj3t1DJdrq83ubdlEACxFmR1iam8fqyOwMuWRotwvIiMW4Rjw1bbpmm6TOQ1DKeLLofil1ttm/EjHkhPWx0bns/DtGE4jKRVPl2o8eVSHcvt4vk+puvzh5dGSasS+WP21DdaFroSdlp2/YAAqBsuuYR7rI7Ay5ZGi3C8iIxbhGNDuWWjSiIj0s5l9Sje/NNWx+5/7nk7TMdzOleW6lxZrOEHIMUF5LjAWsOgbrrMFJMHX+SIWKkZ5HSZNyazXFkK1QYEIcZsMXnsjsCLnkY7qd25LwIi4xbh2HCcab1nlSJ83g7T4ZSKYXsDRyBGmCJMKdITqxVmdJlvV5pcns4xV0yw1bYppRQujmeeq3f3rHGSu3NfBAjP+gYivDjop/WEWPj/Hyetd5zXepGR0iTOj6SZLekMpRWmizpTeZ2EIj4xR2Ayp5NSRW5ttIjFYkzldcYyGqXoQD4S+ql3f1fqfalmPNsbe0EQRW4Rjg3HmdZ7HlOEzwqnhpK8P1d8arXC/m+zVDN2/DbHXdt70XGSu3NfBETGLcKx4jjTes9bivBZ4Vk4AtFv8/g46d25zzsi4xYhwmPiJDQFRMbm+cPz2J37PCEybhEiPAaipoAIj4oo9f5kERm3CBEeAyeZsivCyUcUcT85RN2SESI8BqKmgAgRTiaiyO0lwEmoCb2oeJGaAl70dfKiP1+EnYiM2wuOqCb0ZPGiNAW8KOtkPwP2ojxfhMMjMm4vOKKa0JPFi9IUsFQzuLrWoG66GHbI9G863nO1Th5mwFYbZrQPXjJExu0FR1QT2oknkZp6EZoCVmomCxWDuuEOmP4busRqzeSNydyRr/csUoAPc+R8P4j2wUuGyLi94HiRakKPiyg1tT8SikjT8ugvkwBoWR66cvQj4lm954c5cqdKiWgfvGSIuiVfcEQcjfcRcfntj6wu8cZklnhvocSFGJcms2R16cjXelbvue/IbUffgBUScrQPXjJEkdsLjhelJnQciFK0+0OT4ry9neU/qZBPyGhS/MjXelbv+WHNPWlNjvbBS4bIuL0EeBFqQseBKEW7P4pJhbtbbQQhxmROx+n62F6X4gHrZndtba6YeKZyRQ8zYNE+eLkQGbcILw1elLb9J4FCUuHd2cKA6X8iqR0Y2exVW1urW7w+kXlm7zkyYBH6iIxbhJcGUYr24TiqYdirO/HmRou5UiJ6zxGeOSLjFuGlQuTZHx/2q60t1UzOjaSj9xzhmSLqlowQIcIj4WHdiREiPGtExi1ChAiPhGjMJMJJRpSWjBAhwiMhqmFGOMmIjFuECBEeGVENM8JJRWTcIkSI8FQRSc9EeBqIjFuECBGeGiJ+zwhPC1FDSYQIEZ4aIn7PCE8LUeQWIcITQpR+exARv2eEp4XIuEWI8AQQpd/2RsTvGeFpITJuESI8AUQK6HvjUfk9oyg4wlERGbcIEZ4AovTb3niU2bgoCo7wKIiMW4QITwBR+m1/HAdBcxQFRzgIUbdkhAhPABE11fEhioIjPAqiyC1ChF04jvrOk6ameplqUFEUHOFREBm3CBG24TjrO0+Kmuplq0FFIrMRHgWRcYsQYRueh/rO83CPx4mIoDnCoyAybhEibMPzUN95Hu7xuBERNEc4KqKGkggRtuF5EOB8Hu4xQoRnjci4RYiwDc9Dl+PzcI8RIjxrRGnJCBG24Xmo7zwP9xghwrNGZNwiRNiF56G+8zzcY4QIzxJRWjJChAgRIrxwiIxbhAgRIkR44RAZtwgRIkSI8MIhMm4RIkSIEOGFwxM1bn/4h3/I1NQUqqoyOjrKP/2n/5TV1dUn+ZURIkSIECHCkzVuP/zhD/kf/8f/kRs3bvCv//W/5s6dO/yjf/SPnuRXRogQIUKECMSCYDeRz5PDn/zJn/AP/sE/wLZtJEk68PPNZpNMJkOj0SCdTj+FO4wQIUKECCcFj2MDntqcW7Va5V/8i3/Bd7/73X0Nm23b2LY9+P+NRgMIHzBChAgRIrxc6J/9jxSDBU8Y/8V/8V8Euq4HQPDee+8F5XJ538/+s3/2zwIg+i/6L/ov+i/6L/pv8N+dO3eObHuOnJb8r//r/5p//s//+UM/88knn/D2228DUC6XqVarLCws8M//+T8nk8nwb/7NvyEWiz3w73ZHbvV6nenpaRYXF8lkMke5zQgRXgg0m00mJydZWlqKUvMRXjo0Gg2mpqao1Wpks9kj/dsjG7dyuUy5XH7oZ2ZmZlBV9YE/X15eZnJyko8++oj333//wO+Kam4RXnZEeyDCy4ynWnMrFosUi8Wj/jOAQd50e3QWIUKECBEiHDeeWEPJxx9/zMcff8wHH3xALpfj7t27/Ff/1X/FqVOnDhW1RYgQIUKECI+KJzbnpmkaf/zHf8zv//7vc+7cOf7T//Q/5bXXXuMXv/gFinI4NnNFUfhn/+yfHfrzESK8aIj2QISXGY+z/p/qnFuECBEiRIjwNBBxS0aIECFChBcOkXGLECFChAgvHCLjFiFChAgRXjhExi1ChAgRIrxweG6MWySfE+Flw3//3//3zM7Ooqoqly9f5pe//OWzvqUIEZ4K/uiP/ojXX3+ddDpNOp3m/fff58/+7M+OdI3nxrhF8jkRXib8q3/1r/jP//P/nP/yv/wv+eKLL/j+97/PH/zBH7C4uPisby1ChCeOiYkJ/tv/9r/l008/5dNPP+VHP/oRf//v/32+/fbbQ1/juR0FOKp8ToQIzxO+853v8NZbb/FHf/RHgz975ZVX+Af/4B/w3/w3/80zvLMIEZ4N8vk8/91/99/xn/1n/9mhPv/cRG7bcRj5nAgRnlc4jsNnn33GT3/60x1//tOf/pSPPvroGd1VhAjPBt1ul3/5L/8lnU7nSOxWz5Vx+/+3d/+qiURxFMePBBRMwCKFWAQLi4CITWzSK2gVrKzU1lRCQAQbxbeITzCQQtKEQRvtLAQHhDyAjRG0EhtBJtUGsv+YXdYM3v1+YJrh3suvmlMMl9NsNnV+fq7Ly0stFgs9Pz/7PRLwz63Xax0OB0Wj0U/vo9Go3t7efJoK+Frz+VwXFxcKhUKq1Wrq9/tKJpOe9/sabp1OR4FA4LfPdDr9WN9oNDSbzTQYDHR2dqZKpfJ3JXbACfi+Fsp13Z9WRQEmur6+luM4mkwmur+/V7Va1evrq+f9vv5z+8r6HOBU7Pd7hcNhPT09qVgsfryv1+tyHEfj8djH6QB/ZLNZJRIJPT4+elp/tFYAL6jPAX4UDAZ1c3Oj4XD4KdyGw6Hu7u58nAzwj+u6f/S99zXcvKI+B/+bh4cHlctlZTIZ3d7eqtfrabFYqFar+T0acHStVkuFQkFXV1fabreyLEuj0Ui2bXs+4yTC7Vt9Trvd1m63UywWUz6fl2VZVIHASKVSSZvNRt1uV8vlUqlUSi8vL4rH436PBhzdarVSuVzWcrlUJBJROp2WbdvK5XKezzjZe24AAPzKSV0FAADAC8INAGAcwg0AYBzCDQBgHMINAGAcwg0AYBzCDQBgHMINAGAcwg0AYBzCDQBgHMINAGAcwg0AYJx3iaLrliPT4ygAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 500x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 二元，服从连续均匀分布\n",
    "num = 2000\n",
    "# 2000 个散点\n",
    "\n",
    "mu = np.array([0, 0])\n",
    "Sigma = np.array([[1, 0], \n",
    "                  [0, 1]])\n",
    "\n",
    "X_binormal = np.random.multivariate_normal(mu, Sigma, size=num)\n",
    "\n",
    "fig, ax = plt.subplots(figsize = (5,5))\n",
    "plt.scatter(X_binormal[:,0], \n",
    "            X_binormal[:,1], \n",
    "            s = 100, \n",
    "            marker = '.', \n",
    "            alpha = 0.5, \n",
    "            edgecolors = 'w')\n",
    "\n",
    "ax.set_aspect('equal', adjustable='box')\n",
    "plt.xlim(-3, 3)\n",
    "plt.ylim(-3, 3)\n",
    "ax.set_xticks((-3,0,3))\n",
    "ax.set_yticks((-3,0,3))\n",
    "fig.savefig('Figures/二元正态分布随机数.svg', format='svg')\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "55a2230e-33d4-4e2b-8c3c-52e403fdf61b",
   "metadata": {},
   "source": [
    "## CSV文件导出、导入"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 81,
   "id": "26511073-c137-46d3-9512-e5a7de137a91",
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.datasets import load_iris\n",
    "\n",
    "iris = load_iris()\n",
    "\n",
    "np.savetxt(\"Iris_data.csv\", iris.data, delimiter=\",\")\n",
    "# 将numpy array存成CSV文件"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 82,
   "id": "5a02c0dc-78dc-4523-8059-e5feae5384ea",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[5.1, 3.5, 1.4, 0.2],\n",
       "       [4.9, 3. , 1.4, 0.2],\n",
       "       [4.7, 3.2, 1.3, 0.2],\n",
       "       [4.6, 3.1, 1.5, 0.2],\n",
       "       [5. , 3.6, 1.4, 0.2],\n",
       "       [5.4, 3.9, 1.7, 0.4],\n",
       "       [4.6, 3.4, 1.4, 0.3],\n",
       "       [5. , 3.4, 1.5, 0.2],\n",
       "       [4.4, 2.9, 1.4, 0.2],\n",
       "       [4.9, 3.1, 1.5, 0.1],\n",
       "       [5.4, 3.7, 1.5, 0.2],\n",
       "       [4.8, 3.4, 1.6, 0.2],\n",
       "       [4.8, 3. , 1.4, 0.1],\n",
       "       [4.3, 3. , 1.1, 0.1],\n",
       "       [5.8, 4. , 1.2, 0.2],\n",
       "       [5.7, 4.4, 1.5, 0.4],\n",
       "       [5.4, 3.9, 1.3, 0.4],\n",
       "       [5.1, 3.5, 1.4, 0.3],\n",
       "       [5.7, 3.8, 1.7, 0.3],\n",
       "       [5.1, 3.8, 1.5, 0.3],\n",
       "       [5.4, 3.4, 1.7, 0.2],\n",
       "       [5.1, 3.7, 1.5, 0.4],\n",
       "       [4.6, 3.6, 1. , 0.2],\n",
       "       [5.1, 3.3, 1.7, 0.5],\n",
       "       [4.8, 3.4, 1.9, 0.2],\n",
       "       [5. , 3. , 1.6, 0.2],\n",
       "       [5. , 3.4, 1.6, 0.4],\n",
       "       [5.2, 3.5, 1.5, 0.2],\n",
       "       [5.2, 3.4, 1.4, 0.2],\n",
       "       [4.7, 3.2, 1.6, 0.2],\n",
       "       [4.8, 3.1, 1.6, 0.2],\n",
       "       [5.4, 3.4, 1.5, 0.4],\n",
       "       [5.2, 4.1, 1.5, 0.1],\n",
       "       [5.5, 4.2, 1.4, 0.2],\n",
       "       [4.9, 3.1, 1.5, 0.2],\n",
       "       [5. , 3.2, 1.2, 0.2],\n",
       "       [5.5, 3.5, 1.3, 0.2],\n",
       "       [4.9, 3.6, 1.4, 0.1],\n",
       "       [4.4, 3. , 1.3, 0.2],\n",
       "       [5.1, 3.4, 1.5, 0.2],\n",
       "       [5. , 3.5, 1.3, 0.3],\n",
       "       [4.5, 2.3, 1.3, 0.3],\n",
       "       [4.4, 3.2, 1.3, 0.2],\n",
       "       [5. , 3.5, 1.6, 0.6],\n",
       "       [5.1, 3.8, 1.9, 0.4],\n",
       "       [4.8, 3. , 1.4, 0.3],\n",
       "       [5.1, 3.8, 1.6, 0.2],\n",
       "       [4.6, 3.2, 1.4, 0.2],\n",
       "       [5.3, 3.7, 1.5, 0.2],\n",
       "       [5. , 3.3, 1.4, 0.2],\n",
       "       [7. , 3.2, 4.7, 1.4],\n",
       "       [6.4, 3.2, 4.5, 1.5],\n",
       "       [6.9, 3.1, 4.9, 1.5],\n",
       "       [5.5, 2.3, 4. , 1.3],\n",
       "       [6.5, 2.8, 4.6, 1.5],\n",
       "       [5.7, 2.8, 4.5, 1.3],\n",
       "       [6.3, 3.3, 4.7, 1.6],\n",
       "       [4.9, 2.4, 3.3, 1. ],\n",
       "       [6.6, 2.9, 4.6, 1.3],\n",
       "       [5.2, 2.7, 3.9, 1.4],\n",
       "       [5. , 2. , 3.5, 1. ],\n",
       "       [5.9, 3. , 4.2, 1.5],\n",
       "       [6. , 2.2, 4. , 1. ],\n",
       "       [6.1, 2.9, 4.7, 1.4],\n",
       "       [5.6, 2.9, 3.6, 1.3],\n",
       "       [6.7, 3.1, 4.4, 1.4],\n",
       "       [5.6, 3. , 4.5, 1.5],\n",
       "       [5.8, 2.7, 4.1, 1. ],\n",
       "       [6.2, 2.2, 4.5, 1.5],\n",
       "       [5.6, 2.5, 3.9, 1.1],\n",
       "       [5.9, 3.2, 4.8, 1.8],\n",
       "       [6.1, 2.8, 4. , 1.3],\n",
       "       [6.3, 2.5, 4.9, 1.5],\n",
       "       [6.1, 2.8, 4.7, 1.2],\n",
       "       [6.4, 2.9, 4.3, 1.3],\n",
       "       [6.6, 3. , 4.4, 1.4],\n",
       "       [6.8, 2.8, 4.8, 1.4],\n",
       "       [6.7, 3. , 5. , 1.7],\n",
       "       [6. , 2.9, 4.5, 1.5],\n",
       "       [5.7, 2.6, 3.5, 1. ],\n",
       "       [5.5, 2.4, 3.8, 1.1],\n",
       "       [5.5, 2.4, 3.7, 1. ],\n",
       "       [5.8, 2.7, 3.9, 1.2],\n",
       "       [6. , 2.7, 5.1, 1.6],\n",
       "       [5.4, 3. , 4.5, 1.5],\n",
       "       [6. , 3.4, 4.5, 1.6],\n",
       "       [6.7, 3.1, 4.7, 1.5],\n",
       "       [6.3, 2.3, 4.4, 1.3],\n",
       "       [5.6, 3. , 4.1, 1.3],\n",
       "       [5.5, 2.5, 4. , 1.3],\n",
       "       [5.5, 2.6, 4.4, 1.2],\n",
       "       [6.1, 3. , 4.6, 1.4],\n",
       "       [5.8, 2.6, 4. , 1.2],\n",
       "       [5. , 2.3, 3.3, 1. ],\n",
       "       [5.6, 2.7, 4.2, 1.3],\n",
       "       [5.7, 3. , 4.2, 1.2],\n",
       "       [5.7, 2.9, 4.2, 1.3],\n",
       "       [6.2, 2.9, 4.3, 1.3],\n",
       "       [5.1, 2.5, 3. , 1.1],\n",
       "       [5.7, 2.8, 4.1, 1.3],\n",
       "       [6.3, 3.3, 6. , 2.5],\n",
       "       [5.8, 2.7, 5.1, 1.9],\n",
       "       [7.1, 3. , 5.9, 2.1],\n",
       "       [6.3, 2.9, 5.6, 1.8],\n",
       "       [6.5, 3. , 5.8, 2.2],\n",
       "       [7.6, 3. , 6.6, 2.1],\n",
       "       [4.9, 2.5, 4.5, 1.7],\n",
       "       [7.3, 2.9, 6.3, 1.8],\n",
       "       [6.7, 2.5, 5.8, 1.8],\n",
       "       [7.2, 3.6, 6.1, 2.5],\n",
       "       [6.5, 3.2, 5.1, 2. ],\n",
       "       [6.4, 2.7, 5.3, 1.9],\n",
       "       [6.8, 3. , 5.5, 2.1],\n",
       "       [5.7, 2.5, 5. , 2. ],\n",
       "       [5.8, 2.8, 5.1, 2.4],\n",
       "       [6.4, 3.2, 5.3, 2.3],\n",
       "       [6.5, 3. , 5.5, 1.8],\n",
       "       [7.7, 3.8, 6.7, 2.2],\n",
       "       [7.7, 2.6, 6.9, 2.3],\n",
       "       [6. , 2.2, 5. , 1.5],\n",
       "       [6.9, 3.2, 5.7, 2.3],\n",
       "       [5.6, 2.8, 4.9, 2. ],\n",
       "       [7.7, 2.8, 6.7, 2. ],\n",
       "       [6.3, 2.7, 4.9, 1.8],\n",
       "       [6.7, 3.3, 5.7, 2.1],\n",
       "       [7.2, 3.2, 6. , 1.8],\n",
       "       [6.2, 2.8, 4.8, 1.8],\n",
       "       [6.1, 3. , 4.9, 1.8],\n",
       "       [6.4, 2.8, 5.6, 2.1],\n",
       "       [7.2, 3. , 5.8, 1.6],\n",
       "       [7.4, 2.8, 6.1, 1.9],\n",
       "       [7.9, 3.8, 6.4, 2. ],\n",
       "       [6.4, 2.8, 5.6, 2.2],\n",
       "       [6.3, 2.8, 5.1, 1.5],\n",
       "       [6.1, 2.6, 5.6, 1.4],\n",
       "       [7.7, 3. , 6.1, 2.3],\n",
       "       [6.3, 3.4, 5.6, 2.4],\n",
       "       [6.4, 3.1, 5.5, 1.8],\n",
       "       [6. , 3. , 4.8, 1.8],\n",
       "       [6.9, 3.1, 5.4, 2.1],\n",
       "       [6.7, 3.1, 5.6, 2.4],\n",
       "       [6.9, 3.1, 5.1, 2.3],\n",
       "       [5.8, 2.7, 5.1, 1.9],\n",
       "       [6.8, 3.2, 5.9, 2.3],\n",
       "       [6.7, 3.3, 5.7, 2.5],\n",
       "       [6.7, 3. , 5.2, 2.3],\n",
       "       [6.3, 2.5, 5. , 1.9],\n",
       "       [6.5, 3. , 5.2, 2. ],\n",
       "       [6.2, 3.4, 5.4, 2.3],\n",
       "       [5.9, 3. , 5.1, 1.8]])"
      ]
     },
     "execution_count": 82,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from numpy import genfromtxt\n",
    "Iris_Data_array = genfromtxt('Iris_data.csv', delimiter=',')\n",
    "Iris_Data_array\n",
    "# 将 CSV 文件读入成numpy array"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 83,
   "id": "fd1b7b40-97a6-4acf-97e9-a735b8c0d9fb",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 500x500 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import seaborn as sns\n",
    "fig, ax = plt.subplots(figsize = (5,5))\n",
    "sns.heatmap(Iris_Data_array,   # 鸢尾花数据数组\n",
    "            cmap = 'RdYlBu_r', # 指定色谱\n",
    "            ax = ax,           # 指定轴\n",
    "            vmax = 8,          # 色谱最大值\n",
    "            vmin = 0,          # 色谱最小值\n",
    "            xticklabels = [],  # 不显示横轴标签\n",
    "            yticklabels = [],  # 不显示纵轴标签\n",
    "            cbar = True)       # 显示色谱条\n",
    "\n",
    "fig.savefig('Figures/鸢尾花数据热图.svg', format='svg')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "683d3830-3244-4fec-a471-6ac98611f4f4",
   "metadata": {},
   "source": [
    "## 推荐阅读"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a8f49fa3-6a70-4e60-88e3-0be933318a76",
   "metadata": {},
   "source": [
    "NumPy最权威的综述，请参考：  \n",
    "https://www.nature.com/articles/s41586-020-2649-2  \n",
    "MATLAB用户，使用NumPy之前请先阅读：  \n",
    "https://numpy.org/doc/stable/user/numpy-for-matlab-users.html  \n",
    "更多NumPy练习题，大家可以参考：  \n",
    "https://github.com/rougier/numpy-100/blob/master/100_Numpy_exercises_with_solutions.md  \n",
    "NumPy中的英文术语：  \n",
    "https://numpy.org/doc/stable/glossary.html"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 84,
   "id": "2a76d332-aee9-4e69-b1d7-20b5eac340a5",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Repo: https://github.com/Visualize-ML\n",
    "# Book 1 Python for Beginners  |  From Basic Arithmetic to Machine Learning\n",
    "# Published and copyrighted by Tsinghua University Press\n",
    "# Beijing, China, 2023"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.9"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
